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Finding the Fourth Proportional to 101,454.31, 152,149.20 and 34,878.43

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Solution

The fourth proportional to 101,454.31, 152,149.20 and 34,878.43 is: 52,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,454.31 : 152,149.20 = 34,878.43 : x
  2. Step 2: Convert to fraction form
    101,454.31/152,149.20 = 34,878.43/x
  3. Step 3: Cross multiply
    101,454.31x = 152,149.20 × 34,878.43
  4. Step 4: Simplify right side
    101,454.31x = 5,306,725,221.76
  5. Step 5: Solve for x
    x = 5,306,725,221.76/101,454.31
  6. Step 6: Final answer
    x = 52,306.55

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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.