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Finding the Fourth Proportional to 78,712.97, 108,624.04 and 42,902.97

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Solution

The fourth proportional to 78,712.97, 108,624.04 and 42,902.97 is: 59,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,712.97 : 108,624.04 = 42,902.97 : x
  2. Step 2: Convert to fraction form
    78,712.97/108,624.04 = 42,902.97/x
  3. Step 3: Cross multiply
    78,712.97x = 108,624.04 × 42,902.97
  4. Step 4: Simplify right side
    78,712.97x = 4,660,293,414.80
  5. Step 5: Solve for x
    x = 4,660,293,414.80/78,712.97
  6. Step 6: Final answer
    x = 59,206.17

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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.