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Finding the Fourth Proportional to 104,781.78, 157,171.12 and 25,896

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Solution

The fourth proportional to 104,781.78, 157,171.12 and 25,896 is: 38,843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,781.78 : 157,171.12 = 25,896 : x
  2. Step 2: Convert to fraction form
    104,781.78/157,171.12 = 25,896/x
  3. Step 3: Cross multiply
    104,781.78x = 157,171.12 × 25,896
  4. Step 4: Simplify right side
    104,781.78x = 4,070,103,323.52
  5. Step 5: Solve for x
    x = 4,070,103,323.52/104,781.78
  6. Step 6: Final answer
    x = 38,843.62

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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.