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Finding the Fourth Proportional to 100,216.62, 138,297.42 and 54,894.24

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Solution

The fourth proportional to 100,216.62, 138,297.42 and 54,894.24 is: 75,753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,216.62 : 138,297.42 = 54,894.24 : x
  2. Step 2: Convert to fraction form
    100,216.62/138,297.42 = 54,894.24/x
  3. Step 3: Cross multiply
    100,216.62x = 138,297.42 × 54,894.24
  4. Step 4: Simplify right side
    100,216.62x = 7,591,731,764.86
  5. Step 5: Solve for x
    x = 7,591,731,764.86/100,216.62
  6. Step 6: Final answer
    x = 75,753.22

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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.