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Finding the Fourth Proportional to 81,382.80, 122,092.86 and 31,463.28

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Solution

The fourth proportional to 81,382.80, 122,092.86 and 31,463.28 is: 47,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,382.80 : 122,092.86 = 31,463.28 : x
  2. Step 2: Convert to fraction form
    81,382.80/122,092.86 = 31,463.28/x
  3. Step 3: Cross multiply
    81,382.80x = 122,092.86 × 31,463.28
  4. Step 4: Simplify right side
    81,382.80x = 3,841,441,840.18
  5. Step 5: Solve for x
    x = 3,841,441,840.18/81,382.80
  6. Step 6: Final answer
    x = 47,202.13

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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.