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Finding the Fourth Proportional to 206,074.29, 309,132.42 and 71,120.81

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Solution

The fourth proportional to 206,074.29, 309,132.42 and 71,120.81 is: 106,688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,074.29 : 309,132.42 = 71,120.81 : x
  2. Step 2: Convert to fraction form
    206,074.29/309,132.42 = 71,120.81/x
  3. Step 3: Cross multiply
    206,074.29x = 309,132.42 × 71,120.81
  4. Step 4: Simplify right side
    206,074.29x = 21,985,746,562.00
  5. Step 5: Solve for x
    x = 21,985,746,562.00/206,074.29
  6. Step 6: Final answer
    x = 106,688.45

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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.