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Finding the Fourth Proportional to 103,402.59, 142,691.81 and 63,183.66

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Solution

The fourth proportional to 103,402.59, 142,691.81 and 63,183.66 is: 87,191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,402.59 : 142,691.81 = 63,183.66 : x
  2. Step 2: Convert to fraction form
    103,402.59/142,691.81 = 63,183.66/x
  3. Step 3: Cross multiply
    103,402.59x = 142,691.81 × 63,183.66
  4. Step 4: Simplify right side
    103,402.59x = 9,015,790,491.91
  5. Step 5: Solve for x
    x = 9,015,790,491.91/103,402.59
  6. Step 6: Final answer
    x = 87,191.15

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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.