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Finding the Fourth Proportional to 206,334.36, 309,475.17 and 79,888.10

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Solution

The fourth proportional to 206,334.36, 309,475.17 and 79,888.10 is: 119,821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,334.36 : 309,475.17 = 79,888.10 : x
  2. Step 2: Convert to fraction form
    206,334.36/309,475.17 = 79,888.10/x
  3. Step 3: Cross multiply
    206,334.36x = 309,475.17 × 79,888.10
  4. Step 4: Simplify right side
    206,334.36x = 24,723,381,781.10
  5. Step 5: Solve for x
    x = 24,723,381,781.10/206,334.36
  6. Step 6: Final answer
    x = 119,821.93

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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.