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Finding the Fourth Proportional to 99,535.76, 137,359.34 and 54,823.76

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Solution

The fourth proportional to 99,535.76, 137,359.34 and 54,823.76 is: 75,656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,535.76 : 137,359.34 = 54,823.76 : x
  2. Step 2: Convert to fraction form
    99,535.76/137,359.34 = 54,823.76/x
  3. Step 3: Cross multiply
    99,535.76x = 137,359.34 × 54,823.76
  4. Step 4: Simplify right side
    99,535.76x = 7,530,555,489.92
  5. Step 5: Solve for x
    x = 7,530,555,489.92/99,535.76
  6. Step 6: Final answer
    x = 75,656.78

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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.