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Finding the Fourth Proportional to 103,428.78, 142,747.16 and 63,165.71

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Solution

The fourth proportional to 103,428.78, 142,747.16 and 63,165.71 is: 87,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,428.78 : 142,747.16 = 63,165.71 : x
  2. Step 2: Convert to fraction form
    103,428.78/142,747.16 = 63,165.71/x
  3. Step 3: Cross multiply
    103,428.78x = 142,747.16 × 63,165.71
  4. Step 4: Simplify right side
    103,428.78x = 9,016,724,682.32
  5. Step 5: Solve for x
    x = 9,016,724,682.32/103,428.78
  6. Step 6: Final answer
    x = 87,178.10

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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.