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Finding the Fourth Proportional to 135,691.65, 187,224.51 and 78,318.76

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Solution

The fourth proportional to 135,691.65, 187,224.51 and 78,318.76 is: 108,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,691.65 : 187,224.51 = 78,318.76 : x
  2. Step 2: Convert to fraction form
    135,691.65/187,224.51 = 78,318.76/x
  3. Step 3: Cross multiply
    135,691.65x = 187,224.51 × 78,318.76
  4. Step 4: Simplify right side
    135,691.65x = 14,663,191,464.81
  5. Step 5: Solve for x
    x = 14,663,191,464.81/135,691.65
  6. Step 6: Final answer
    x = 108,062.59

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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.