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Finding the Fourth Proportional to 82,890, 124,400.52 and 36,175.68

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Solution

The fourth proportional to 82,890, 124,400.52 and 36,175.68 is: 54,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,890 : 124,400.52 = 36,175.68 : x
  2. Step 2: Convert to fraction form
    82,890/124,400.52 = 36,175.68/x
  3. Step 3: Cross multiply
    82,890x = 124,400.52 × 36,175.68
  4. Step 4: Simplify right side
    82,890x = 4,500,273,403.35
  5. Step 5: Solve for x
    x = 4,500,273,403.35/82,890
  6. Step 6: Final answer
    x = 54,292.11

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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.