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Finding the Fourth Proportional to 206,356.76, 309,622.60 and 112,753.16

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Solution

The fourth proportional to 206,356.76, 309,622.60 and 112,753.16 is: 169,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,356.76 : 309,622.60 = 112,753.16 : x
  2. Step 2: Convert to fraction form
    206,356.76/309,622.60 = 112,753.16/x
  3. Step 3: Cross multiply
    206,356.76x = 309,622.60 × 112,753.16
  4. Step 4: Simplify right side
    206,356.76x = 34,910,926,557.42
  5. Step 5: Solve for x
    x = 34,910,926,557.42/206,356.76
  6. Step 6: Final answer
    x = 169,177.53

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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.