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Finding the Fourth Proportional to 132,461.68, 198,258.15 and 72,398.16

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Solution

The fourth proportional to 132,461.68, 198,258.15 and 72,398.16 is: 108,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,461.68 : 198,258.15 = 72,398.16 : x
  2. Step 2: Convert to fraction form
    132,461.68/198,258.15 = 72,398.16/x
  3. Step 3: Cross multiply
    132,461.68x = 198,258.15 × 72,398.16
  4. Step 4: Simplify right side
    132,461.68x = 14,353,524,273.71
  5. Step 5: Solve for x
    x = 14,353,524,273.71/132,461.68
  6. Step 6: Final answer
    x = 108,359.82

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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.