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Finding the Fourth Proportional to 132,187.71, 198,288.87 and 85,735.83

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Solution

The fourth proportional to 132,187.71, 198,288.87 and 85,735.83 is: 128,608.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,187.71 : 198,288.87 = 85,735.83 : x
  2. Step 2: Convert to fraction form
    132,187.71/198,288.87 = 85,735.83/x
  3. Step 3: Cross multiply
    132,187.71x = 198,288.87 × 85,735.83
  4. Step 4: Simplify right side
    132,187.71x = 17,000,460,849.21
  5. Step 5: Solve for x
    x = 17,000,460,849.21/132,187.71
  6. Step 6: Final answer
    x = 128,608.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.