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Finding the Fourth Proportional to 81,862.41, 122,826.42 and 25,711.20

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Solution

The fourth proportional to 81,862.41, 122,826.42 and 25,711.20 is: 38,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,862.41 : 122,826.42 = 25,711.20 : x
  2. Step 2: Convert to fraction form
    81,862.41/122,826.42 = 25,711.20/x
  3. Step 3: Cross multiply
    81,862.41x = 122,826.42 × 25,711.20
  4. Step 4: Simplify right side
    81,862.41x = 3,158,014,649.90
  5. Step 5: Solve for x
    x = 3,158,014,649.90/81,862.41
  6. Step 6: Final answer
    x = 38,577.10

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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.