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Finding the Fourth Proportional to 133,691.80, 200,537.70 and 118,658.20

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Solution

The fourth proportional to 133,691.80, 200,537.70 and 118,658.20 is: 177,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,691.80 : 200,537.70 = 118,658.20 : x
  2. Step 2: Convert to fraction form
    133,691.80/200,537.70 = 118,658.20/x
  3. Step 3: Cross multiply
    133,691.80x = 200,537.70 × 118,658.20
  4. Step 4: Simplify right side
    133,691.80x = 23,795,442,514.14
  5. Step 5: Solve for x
    x = 23,795,442,514.14/133,691.80
  6. Step 6: Final answer
    x = 177,987.30

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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.