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Finding the Fourth Proportional to 133,230.56, 199,859.20 and 38,463.08

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Solution

The fourth proportional to 133,230.56, 199,859.20 and 38,463.08 is: 57,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,230.56 : 199,859.20 = 38,463.08 : x
  2. Step 2: Convert to fraction form
    133,230.56/199,859.20 = 38,463.08/x
  3. Step 3: Cross multiply
    133,230.56x = 199,859.20 × 38,463.08
  4. Step 4: Simplify right side
    133,230.56x = 7,687,200,398.34
  5. Step 5: Solve for x
    x = 7,687,200,398.34/133,230.56
  6. Step 6: Final answer
    x = 57,698.48

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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.