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Finding the Fourth Proportional to 81,359.66, 122,019.82 and 31,407.91

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Solution

The fourth proportional to 81,359.66, 122,019.82 and 31,407.91 is: 47,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,359.66 : 122,019.82 = 31,407.91 : x
  2. Step 2: Convert to fraction form
    81,359.66/122,019.82 = 31,407.91/x
  3. Step 3: Cross multiply
    81,359.66x = 122,019.82 × 31,407.91
  4. Step 4: Simplify right side
    81,359.66x = 3,832,387,141.21
  5. Step 5: Solve for x
    x = 3,832,387,141.21/81,359.66
  6. Step 6: Final answer
    x = 47,104.27

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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.