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Finding the Fourth Proportional to 103,428.92, 142,747.32 and 63,165.84

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Solution

The fourth proportional to 103,428.92, 142,747.32 and 63,165.84 is: 87,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,428.92 : 142,747.32 = 63,165.84 : x
  2. Step 2: Convert to fraction form
    103,428.92/142,747.32 = 63,165.84/x
  3. Step 3: Cross multiply
    103,428.92x = 142,747.32 × 63,165.84
  4. Step 4: Simplify right side
    103,428.92x = 9,016,754,375.55
  5. Step 5: Solve for x
    x = 9,016,754,375.55/103,428.92
  6. Step 6: Final answer
    x = 87,178.27

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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.