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Finding the Fourth Proportional to 83,874.64, 125,750.90 and 39,476.72

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Solution

The fourth proportional to 83,874.64, 125,750.90 and 39,476.72 is: 59,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,874.64 : 125,750.90 = 39,476.72 : x
  2. Step 2: Convert to fraction form
    83,874.64/125,750.90 = 39,476.72/x
  3. Step 3: Cross multiply
    83,874.64x = 125,750.90 × 39,476.72
  4. Step 4: Simplify right side
    83,874.64x = 4,964,233,069.05
  5. Step 5: Solve for x
    x = 4,964,233,069.05/83,874.64
  6. Step 6: Final answer
    x = 59,186.34

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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.