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Finding the Fourth Proportional to 83,915.66, 125,876.02 and 20,735.78

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Solution

The fourth proportional to 83,915.66, 125,876.02 and 20,735.78 is: 31,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,915.66 : 125,876.02 = 20,735.78 : x
  2. Step 2: Convert to fraction form
    83,915.66/125,876.02 = 20,735.78/x
  3. Step 3: Cross multiply
    83,915.66x = 125,876.02 × 20,735.78
  4. Step 4: Simplify right side
    83,915.66x = 2,610,137,406.16
  5. Step 5: Solve for x
    x = 2,610,137,406.16/83,915.66
  6. Step 6: Final answer
    x = 31,104.29

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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.