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Finding the Fourth Proportional to 83,341.68, 125,012.16 and 21,012

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Solution

The fourth proportional to 83,341.68, 125,012.16 and 21,012 is: 31,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,341.68 : 125,012.16 = 21,012 : x
  2. Step 2: Convert to fraction form
    83,341.68/125,012.16 = 21,012/x
  3. Step 3: Cross multiply
    83,341.68x = 125,012.16 × 21,012
  4. Step 4: Simplify right side
    83,341.68x = 2,626,755,505.92
  5. Step 5: Solve for x
    x = 2,626,755,505.92/83,341.68
  6. Step 6: Final answer
    x = 31,517.91

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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.