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Finding the Fourth Proportional to 206,264.60, 309,319.14 and 86,329.86

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Solution

The fourth proportional to 206,264.60, 309,319.14 and 86,329.86 is: 129,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,264.60 : 309,319.14 = 86,329.86 : x
  2. Step 2: Convert to fraction form
    206,264.60/309,319.14 = 86,329.86/x
  3. Step 3: Cross multiply
    206,264.60x = 309,319.14 × 86,329.86
  4. Step 4: Simplify right side
    206,264.60x = 26,703,479,758.16
  5. Step 5: Solve for x
    x = 26,703,479,758.16/206,264.60
  6. Step 6: Final answer
    x = 129,462.25

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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.