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Finding the Fourth Proportional to 99,290.76, 137,021.24 and 54,578.76

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Solution

The fourth proportional to 99,290.76, 137,021.24 and 54,578.76 is: 75,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,290.76 : 137,021.24 = 54,578.76 : x
  2. Step 2: Convert to fraction form
    99,290.76/137,021.24 = 54,578.76/x
  3. Step 3: Cross multiply
    99,290.76x = 137,021.24 × 54,578.76
  4. Step 4: Simplify right side
    99,290.76x = 7,478,449,372.86
  5. Step 5: Solve for x
    x = 7,478,449,372.86/99,290.76
  6. Step 6: Final answer
    x = 75,318.68

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.