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Finding the Fourth Proportional to 81,650.95, 122,484.13 and 31,734.87

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Solution

The fourth proportional to 81,650.95, 122,484.13 and 31,734.87 is: 47,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,650.95 : 122,484.13 = 31,734.87 : x
  2. Step 2: Convert to fraction form
    81,650.95/122,484.13 = 31,734.87/x
  3. Step 3: Cross multiply
    81,650.95x = 122,484.13 × 31,734.87
  4. Step 4: Simplify right side
    81,650.95x = 3,887,017,942.61
  5. Step 5: Solve for x
    x = 3,887,017,942.61/81,650.95
  6. Step 6: Final answer
    x = 47,605.30

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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.