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Finding the Fourth Proportional to 81,647.48, 122,478.96 and 31,731.43

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Solution

The fourth proportional to 81,647.48, 122,478.96 and 31,731.43 is: 47,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,647.48 : 122,478.96 = 31,731.43 : x
  2. Step 2: Convert to fraction form
    81,647.48/122,478.96 = 31,731.43/x
  3. Step 3: Cross multiply
    81,647.48x = 122,478.96 × 31,731.43
  4. Step 4: Simplify right side
    81,647.48x = 3,886,432,239.52
  5. Step 5: Solve for x
    x = 3,886,432,239.52/81,647.48
  6. Step 6: Final answer
    x = 47,600.15

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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.