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Finding the Fourth Proportional to 132,053.70, 198,080.55 and 82,287.30

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Solution

The fourth proportional to 132,053.70, 198,080.55 and 82,287.30 is: 123,430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,053.70 : 198,080.55 = 82,287.30 : x
  2. Step 2: Convert to fraction form
    132,053.70/198,080.55 = 82,287.30/x
  3. Step 3: Cross multiply
    132,053.70x = 198,080.55 × 82,287.30
  4. Step 4: Simplify right side
    132,053.70x = 16,299,513,642.02
  5. Step 5: Solve for x
    x = 16,299,513,642.02/132,053.70
  6. Step 6: Final answer
    x = 123,430.95

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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.