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Finding the Fourth Proportional to 83,896.80, 125,845.20 and 34,000.80

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Solution

The fourth proportional to 83,896.80, 125,845.20 and 34,000.80 is: 51,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,896.80 : 125,845.20 = 34,000.80 : x
  2. Step 2: Convert to fraction form
    83,896.80/125,845.20 = 34,000.80/x
  3. Step 3: Cross multiply
    83,896.80x = 125,845.20 × 34,000.80
  4. Step 4: Simplify right side
    83,896.80x = 4,278,837,476.16
  5. Step 5: Solve for x
    x = 4,278,837,476.16/83,896.80
  6. Step 6: Final answer
    x = 51,001.20

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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.