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Finding the Fourth Proportional to 206,411.90, 309,909.45 and 127,679.90

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Solution

The fourth proportional to 206,411.90, 309,909.45 and 127,679.90 is: 191,700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,411.90 : 309,909.45 = 127,679.90 : x
  2. Step 2: Convert to fraction form
    206,411.90/309,909.45 = 127,679.90/x
  3. Step 3: Cross multiply
    206,411.90x = 309,909.45 × 127,679.90
  4. Step 4: Simplify right side
    206,411.90x = 39,569,207,585.06
  5. Step 5: Solve for x
    x = 39,569,207,585.06/206,411.90
  6. Step 6: Final answer
    x = 191,700.22

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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.