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Finding the Fourth Proportional to 78,388.73, 117,623.31 and 38,406.97

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Solution

The fourth proportional to 78,388.73, 117,623.31 and 38,406.97 is: 57,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,388.73 : 117,623.31 = 38,406.97 : x
  2. Step 2: Convert to fraction form
    78,388.73/117,623.31 = 38,406.97/x
  3. Step 3: Cross multiply
    78,388.73x = 117,623.31 × 38,406.97
  4. Step 4: Simplify right side
    78,388.73x = 4,517,554,350.35
  5. Step 5: Solve for x
    x = 4,517,554,350.35/78,388.73
  6. Step 6: Final answer
    x = 57,630.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.