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Finding the Fourth Proportional to 102,910.97, 142,000.02 and 60,477.71

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Solution

The fourth proportional to 102,910.97, 142,000.02 and 60,477.71 is: 83,449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,910.97 : 142,000.02 = 60,477.71 : x
  2. Step 2: Convert to fraction form
    102,910.97/142,000.02 = 60,477.71/x
  3. Step 3: Cross multiply
    102,910.97x = 142,000.02 × 60,477.71
  4. Step 4: Simplify right side
    102,910.97x = 8,587,835,319.55
  5. Step 5: Solve for x
    x = 8,587,835,319.55/102,910.97
  6. Step 6: Final answer
    x = 83,449.17

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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.