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Finding the Fourth Proportional to 230,991.34, 318,747.32 and 129,002.66

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Solution

The fourth proportional to 230,991.34, 318,747.32 and 129,002.66 is: 178,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,991.34 : 318,747.32 = 129,002.66 : x
  2. Step 2: Convert to fraction form
    230,991.34/318,747.32 = 129,002.66/x
  3. Step 3: Cross multiply
    230,991.34x = 318,747.32 × 129,002.66
  4. Step 4: Simplify right side
    230,991.34x = 41,119,252,147.87
  5. Step 5: Solve for x
    x = 41,119,252,147.87/230,991.34
  6. Step 6: Final answer
    x = 178,012.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.