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Finding the Fourth Proportional to 128,540.10, 192,883.92 and 100,381.10

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Solution

The fourth proportional to 128,540.10, 192,883.92 and 100,381.10 is: 150,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,540.10 : 192,883.92 = 100,381.10 : x
  2. Step 2: Convert to fraction form
    128,540.10/192,883.92 = 100,381.10/x
  3. Step 3: Cross multiply
    128,540.10x = 192,883.92 × 100,381.10
  4. Step 4: Simplify right side
    128,540.10x = 19,361,900,061.91
  5. Step 5: Solve for x
    x = 19,361,900,061.91/128,540.10
  6. Step 6: Final answer
    x = 150,629.26

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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.