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Finding the Fourth Proportional to 257,561.52, 386,340.39 and 80,068.20

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Solution

The fourth proportional to 257,561.52, 386,340.39 and 80,068.20 is: 120,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,561.52 : 386,340.39 = 80,068.20 : x
  2. Step 2: Convert to fraction form
    257,561.52/386,340.39 = 80,068.20/x
  3. Step 3: Cross multiply
    257,561.52x = 386,340.39 × 80,068.20
  4. Step 4: Simplify right side
    257,561.52x = 30,933,579,614.60
  5. Step 5: Solve for x
    x = 30,933,579,614.60/257,561.52
  6. Step 6: Final answer
    x = 120,101.71

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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.