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Finding the Fourth Proportional to 102,757.68, 141,727.68 and 88,441.20

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Solution

The fourth proportional to 102,757.68, 141,727.68 and 88,441.20 is: 121,981.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,757.68 : 141,727.68 = 88,441.20 : x
  2. Step 2: Convert to fraction form
    102,757.68/141,727.68 = 88,441.20/x
  3. Step 3: Cross multiply
    102,757.68x = 141,727.68 × 88,441.20
  4. Step 4: Simplify right side
    102,757.68x = 12,534,566,092.42
  5. Step 5: Solve for x
    x = 12,534,566,092.42/102,757.68
  6. Step 6: Final answer
    x = 121,981.79

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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.