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Finding the Fourth Proportional to 78,062.22, 107,724.96 and 42,251.40

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Solution

The fourth proportional to 78,062.22, 107,724.96 and 42,251.40 is: 58,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,062.22 : 107,724.96 = 42,251.40 : x
  2. Step 2: Convert to fraction form
    78,062.22/107,724.96 = 42,251.40/x
  3. Step 3: Cross multiply
    78,062.22x = 107,724.96 × 42,251.40
  4. Step 4: Simplify right side
    78,062.22x = 4,551,530,374.94
  5. Step 5: Solve for x
    x = 4,551,530,374.94/78,062.22
  6. Step 6: Final answer
    x = 58,306.44

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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.