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Finding the Fourth Proportional to 206,686.76, 310,099.14 and 80,331.06

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Solution

The fourth proportional to 206,686.76, 310,099.14 and 80,331.06 is: 120,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,686.76 : 310,099.14 = 80,331.06 : x
  2. Step 2: Convert to fraction form
    206,686.76/310,099.14 = 80,331.06/x
  3. Step 3: Cross multiply
    206,686.76x = 310,099.14 × 80,331.06
  4. Step 4: Simplify right side
    206,686.76x = 24,910,592,621.29
  5. Step 5: Solve for x
    x = 24,910,592,621.29/206,686.76
  6. Step 6: Final answer
    x = 120,523.41

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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.