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Finding the Fourth Proportional to 206,356.88, 309,622.80 and 112,753.28

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Solution

The fourth proportional to 206,356.88, 309,622.80 and 112,753.28 is: 169,177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,356.88 : 309,622.80 = 112,753.28 : x
  2. Step 2: Convert to fraction form
    206,356.88/309,622.80 = 112,753.28/x
  3. Step 3: Cross multiply
    206,356.88x = 309,622.80 × 112,753.28
  4. Step 4: Simplify right side
    206,356.88x = 34,910,986,262.78
  5. Step 5: Solve for x
    x = 34,910,986,262.78/206,356.88
  6. Step 6: Final answer
    x = 169,177.72

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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.