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Finding the Fourth Proportional to 206,712.68, 310,007.39 and 80,372.52

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Solution

The fourth proportional to 206,712.68, 310,007.39 and 80,372.52 is: 120,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,712.68 : 310,007.39 = 80,372.52 : x
  2. Step 2: Convert to fraction form
    206,712.68/310,007.39 = 80,372.52/x
  3. Step 3: Cross multiply
    206,712.68x = 310,007.39 × 80,372.52
  4. Step 4: Simplify right side
    206,712.68x = 24,916,074,751.06
  5. Step 5: Solve for x
    x = 24,916,074,751.06/206,712.68
  6. Step 6: Final answer
    x = 120,534.82

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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.