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Finding the Fourth Proportional to 81,471.15, 122,049.10 and 45,824.17

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Solution

The fourth proportional to 81,471.15, 122,049.10 and 45,824.17 is: 68,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,471.15 : 122,049.10 = 45,824.17 : x
  2. Step 2: Convert to fraction form
    81,471.15/122,049.10 = 45,824.17/x
  3. Step 3: Cross multiply
    81,471.15x = 122,049.10 × 45,824.17
  4. Step 4: Simplify right side
    81,471.15x = 5,592,798,706.75
  5. Step 5: Solve for x
    x = 5,592,798,706.75/81,471.15
  6. Step 6: Final answer
    x = 68,647.60

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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.