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Finding the Fourth Proportional to 115,988.43, 160,059.20 and 65,687.43

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Solution

The fourth proportional to 115,988.43, 160,059.20 and 65,687.43 is: 90,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,988.43 : 160,059.20 = 65,687.43 : x
  2. Step 2: Convert to fraction form
    115,988.43/160,059.20 = 65,687.43/x
  3. Step 3: Cross multiply
    115,988.43x = 160,059.20 × 65,687.43
  4. Step 4: Simplify right side
    115,988.43x = 10,513,877,167.42
  5. Step 5: Solve for x
    x = 10,513,877,167.42/115,988.43
  6. Step 6: Final answer
    x = 90,645.91

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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.