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Finding the Fourth Proportional to 76,886.42, 115,229.15 and 39,414.74

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Solution

The fourth proportional to 76,886.42, 115,229.15 and 39,414.74 is: 59,070.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,886.42 : 115,229.15 = 39,414.74 : x
  2. Step 2: Convert to fraction form
    76,886.42/115,229.15 = 39,414.74/x
  3. Step 3: Cross multiply
    76,886.42x = 115,229.15 × 39,414.74
  4. Step 4: Simplify right side
    76,886.42x = 4,541,726,987.67
  5. Step 5: Solve for x
    x = 4,541,726,987.67/76,886.42
  6. Step 6: Final answer
    x = 59,070.60

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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.