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Finding the Fourth Proportional to 100,279.95, 138,387.86 and 54,957.61

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Solution

The fourth proportional to 100,279.95, 138,387.86 and 54,957.61 is: 75,842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,279.95 : 138,387.86 = 54,957.61 : x
  2. Step 2: Convert to fraction form
    100,279.95/138,387.86 = 54,957.61/x
  3. Step 3: Cross multiply
    100,279.95x = 138,387.86 × 54,957.61
  4. Step 4: Simplify right side
    100,279.95x = 7,605,466,038.61
  5. Step 5: Solve for x
    x = 7,605,466,038.61/100,279.95
  6. Step 6: Final answer
    x = 75,842.34

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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.