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Finding the Fourth Proportional to 115,687.68, 159,657.12 and 65,387.04

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Solution

The fourth proportional to 115,687.68, 159,657.12 and 65,387.04 is: 90,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,687.68 : 159,657.12 = 65,387.04 : x
  2. Step 2: Convert to fraction form
    115,687.68/159,657.12 = 65,387.04/x
  3. Step 3: Cross multiply
    115,687.68x = 159,657.12 × 65,387.04
  4. Step 4: Simplify right side
    115,687.68x = 10,439,506,491.72
  5. Step 5: Solve for x
    x = 10,439,506,491.72/115,687.68
  6. Step 6: Final answer
    x = 90,238.71

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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.