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Finding the Fourth Proportional to 153,749.81, 230,691.32 and 82,589.42

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Solution

The fourth proportional to 153,749.81, 230,691.32 and 82,589.42 is: 123,919.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,749.81 : 230,691.32 = 82,589.42 : x
  2. Step 2: Convert to fraction form
    153,749.81/230,691.32 = 82,589.42/x
  3. Step 3: Cross multiply
    153,749.81x = 230,691.32 × 82,589.42
  4. Step 4: Simplify right side
    153,749.81x = 19,052,660,751.43
  5. Step 5: Solve for x
    x = 19,052,660,751.43/153,749.81
  6. Step 6: Final answer
    x = 123,919.90

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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.