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Finding the Fourth Proportional to 206,737.92, 310,210.56 and 82,114.56

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Solution

The fourth proportional to 206,737.92, 310,210.56 and 82,114.56 is: 123,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,737.92 : 310,210.56 = 82,114.56 : x
  2. Step 2: Convert to fraction form
    206,737.92/310,210.56 = 82,114.56/x
  3. Step 3: Cross multiply
    206,737.92x = 310,210.56 × 82,114.56
  4. Step 4: Simplify right side
    206,737.92x = 25,472,803,641.75
  5. Step 5: Solve for x
    x = 25,472,803,641.75/206,737.92
  6. Step 6: Final answer
    x = 123,213.02

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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.