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Finding the Fourth Proportional to 81,548.67, 122,354.15 and 31,663.78

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Solution

The fourth proportional to 81,548.67, 122,354.15 and 31,663.78 is: 47,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,548.67 : 122,354.15 = 31,663.78 : x
  2. Step 2: Convert to fraction form
    81,548.67/122,354.15 = 31,663.78/x
  3. Step 3: Cross multiply
    81,548.67x = 122,354.15 × 31,663.78
  4. Step 4: Simplify right side
    81,548.67x = 3,874,194,423.48
  5. Step 5: Solve for x
    x = 3,874,194,423.48/81,548.67
  6. Step 6: Final answer
    x = 47,507.76

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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.