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Finding the Fourth Proportional to 206,520.95, 309,776.87 and 84,915.86

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Solution

The fourth proportional to 206,520.95, 309,776.87 and 84,915.86 is: 127,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,520.95 : 309,776.87 = 84,915.86 : x
  2. Step 2: Convert to fraction form
    206,520.95/309,776.87 = 84,915.86/x
  3. Step 3: Cross multiply
    206,520.95x = 309,776.87 × 84,915.86
  4. Step 4: Simplify right side
    206,520.95x = 26,304,967,987.56
  5. Step 5: Solve for x
    x = 26,304,967,987.56/206,520.95
  6. Step 6: Final answer
    x = 127,371.91

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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.