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Finding the Fourth Proportional to 98,148.65, 135,434.97 and 55,132.97

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Solution

The fourth proportional to 98,148.65, 135,434.97 and 55,132.97 is: 76,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,148.65 : 135,434.97 = 55,132.97 : x
  2. Step 2: Convert to fraction form
    98,148.65/135,434.97 = 55,132.97/x
  3. Step 3: Cross multiply
    98,148.65x = 135,434.97 × 55,132.97
  4. Step 4: Simplify right side
    98,148.65x = 7,466,931,862.30
  5. Step 5: Solve for x
    x = 7,466,931,862.30/98,148.65
  6. Step 6: Final answer
    x = 76,077.78

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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.