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Finding the Fourth Proportional to 133,687.80, 200,531.70 and 86,448.60

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Solution

The fourth proportional to 133,687.80, 200,531.70 and 86,448.60 is: 129,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,687.80 : 200,531.70 = 86,448.60 : x
  2. Step 2: Convert to fraction form
    133,687.80/200,531.70 = 86,448.60/x
  3. Step 3: Cross multiply
    133,687.80x = 200,531.70 × 86,448.60
  4. Step 4: Simplify right side
    133,687.80x = 17,335,684,720.62
  5. Step 5: Solve for x
    x = 17,335,684,720.62/133,687.80
  6. Step 6: Final answer
    x = 129,672.90

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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.