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Finding the Fourth Proportional to 136,760.40, 205,156.99 and 41,978.17

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Solution

The fourth proportional to 136,760.40, 205,156.99 and 41,978.17 is: 62,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,760.40 : 205,156.99 = 41,978.17 : x
  2. Step 2: Convert to fraction form
    136,760.40/205,156.99 = 41,978.17/x
  3. Step 3: Cross multiply
    136,760.40x = 205,156.99 × 41,978.17
  4. Step 4: Simplify right side
    136,760.40x = 8,612,115,002.91
  5. Step 5: Solve for x
    x = 8,612,115,002.91/136,760.40
  6. Step 6: Final answer
    x = 62,972.29

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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.