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Finding the Fourth Proportional to 81,161.30, 121,659.15 and 54,868.70

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Solution

The fourth proportional to 81,161.30, 121,659.15 and 54,868.70 is: 82,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,161.30 : 121,659.15 = 54,868.70 : x
  2. Step 2: Convert to fraction form
    81,161.30/121,659.15 = 54,868.70/x
  3. Step 3: Cross multiply
    81,161.30x = 121,659.15 × 54,868.70
  4. Step 4: Simplify right side
    81,161.30x = 6,675,279,403.61
  5. Step 5: Solve for x
    x = 6,675,279,403.61/81,161.30
  6. Step 6: Final answer
    x = 82,247.07

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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.