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Finding the Fourth Proportional to 100,141.80, 138,195.80 and 62,416

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Solution

The fourth proportional to 100,141.80, 138,195.80 and 62,416 is: 86,134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,141.80 : 138,195.80 = 62,416 : x
  2. Step 2: Convert to fraction form
    100,141.80/138,195.80 = 62,416/x
  3. Step 3: Cross multiply
    100,141.80x = 138,195.80 × 62,416
  4. Step 4: Simplify right side
    100,141.80x = 8,625,629,052.80
  5. Step 5: Solve for x
    x = 8,625,629,052.80/100,141.80
  6. Step 6: Final answer
    x = 86,134.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.