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Finding the Fourth Proportional to 82,811.70, 124,363.35 and 80,187.30

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Solution

The fourth proportional to 82,811.70, 124,363.35 and 80,187.30 is: 120,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,811.70 : 124,363.35 = 80,187.30 : x
  2. Step 2: Convert to fraction form
    82,811.70/124,363.35 = 80,187.30/x
  3. Step 3: Cross multiply
    82,811.70x = 124,363.35 × 80,187.30
  4. Step 4: Simplify right side
    82,811.70x = 9,972,361,255.46
  5. Step 5: Solve for x
    x = 9,972,361,255.46/82,811.70
  6. Step 6: Final answer
    x = 120,422.13

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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.