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Finding the Fourth Proportional to 81,702.58, 122,539.29 and 21,731.41

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Solution

The fourth proportional to 81,702.58, 122,539.29 and 21,731.41 is: 32,593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,702.58 : 122,539.29 = 21,731.41 : x
  2. Step 2: Convert to fraction form
    81,702.58/122,539.29 = 21,731.41/x
  3. Step 3: Cross multiply
    81,702.58x = 122,539.29 × 21,731.41
  4. Step 4: Simplify right side
    81,702.58x = 2,662,951,552.10
  5. Step 5: Solve for x
    x = 2,662,951,552.10/81,702.58
  6. Step 6: Final answer
    x = 32,593.24

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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.