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Finding the Fourth Proportional to 133,687.60, 200,531.40 and 86,448.40

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Solution

The fourth proportional to 133,687.60, 200,531.40 and 86,448.40 is: 129,672.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,687.60 : 200,531.40 = 86,448.40 : x
  2. Step 2: Convert to fraction form
    133,687.60/200,531.40 = 86,448.40/x
  3. Step 3: Cross multiply
    133,687.60x = 200,531.40 × 86,448.40
  4. Step 4: Simplify right side
    133,687.60x = 17,335,618,679.76
  5. Step 5: Solve for x
    x = 17,335,618,679.76/133,687.60
  6. Step 6: Final answer
    x = 129,672.60

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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.