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Finding the Fourth Proportional to 138,959.20, 191,762.88 and 78,549.40

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Solution

The fourth proportional to 138,959.20, 191,762.88 and 78,549.40 is: 108,397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,959.20 : 191,762.88 = 78,549.40 : x
  2. Step 2: Convert to fraction form
    138,959.20/191,762.88 = 78,549.40/x
  3. Step 3: Cross multiply
    138,959.20x = 191,762.88 × 78,549.40
  4. Step 4: Simplify right side
    138,959.20x = 15,062,859,166.27
  5. Step 5: Solve for x
    x = 15,062,859,166.27/138,959.20
  6. Step 6: Final answer
    x = 108,397.71

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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.