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Finding the Fourth Proportional to 81,371.98, 122,065.26 and 28,781.92

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Solution

The fourth proportional to 81,371.98, 122,065.26 and 28,781.92 is: 43,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,371.98 : 122,065.26 = 28,781.92 : x
  2. Step 2: Convert to fraction form
    81,371.98/122,065.26 = 28,781.92/x
  3. Step 3: Cross multiply
    81,371.98x = 122,065.26 × 28,781.92
  4. Step 4: Simplify right side
    81,371.98x = 3,513,272,548.10
  5. Step 5: Solve for x
    x = 3,513,272,548.10/81,371.98
  6. Step 6: Final answer
    x = 43,175.46

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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.