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Finding the Fourth Proportional to 133,287.20, 199,857.90 and 54,312.20

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Solution

The fourth proportional to 133,287.20, 199,857.90 and 54,312.20 is: 81,438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,287.20 : 199,857.90 = 54,312.20 : x
  2. Step 2: Convert to fraction form
    133,287.20/199,857.90 = 54,312.20/x
  3. Step 3: Cross multiply
    133,287.20x = 199,857.90 × 54,312.20
  4. Step 4: Simplify right side
    133,287.20x = 10,854,722,236.38
  5. Step 5: Solve for x
    x = 10,854,722,236.38/133,287.20
  6. Step 6: Final answer
    x = 81,438.59

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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.