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Finding the Fourth Proportional to 133,147.56, 199,721.34 and 54,247.89

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Solution

The fourth proportional to 133,147.56, 199,721.34 and 54,247.89 is: 81,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,147.56 : 199,721.34 = 54,247.89 : x
  2. Step 2: Convert to fraction form
    133,147.56/199,721.34 = 54,247.89/x
  3. Step 3: Cross multiply
    133,147.56x = 199,721.34 × 54,247.89
  4. Step 4: Simplify right side
    133,147.56x = 10,834,461,282.97
  5. Step 5: Solve for x
    x = 10,834,461,282.97/133,147.56
  6. Step 6: Final answer
    x = 81,371.84

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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.