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Finding the Fourth Proportional to 83,381.61, 115,084.49 and 53,159.97

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Solution

The fourth proportional to 83,381.61, 115,084.49 and 53,159.97 is: 73,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,381.61 : 115,084.49 = 53,159.97 : x
  2. Step 2: Convert to fraction form
    83,381.61/115,084.49 = 53,159.97/x
  3. Step 3: Cross multiply
    83,381.61x = 115,084.49 × 53,159.97
  4. Step 4: Simplify right side
    83,381.61x = 6,117,887,770.07
  5. Step 5: Solve for x
    x = 6,117,887,770.07/83,381.61
  6. Step 6: Final answer
    x = 73,372.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.