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Finding the Fourth Proportional to 231,100.98, 318,921.46 and 135,609.26

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Solution

The fourth proportional to 231,100.98, 318,921.46 and 135,609.26 is: 187,142.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,100.98 : 318,921.46 = 135,609.26 : x
  2. Step 2: Convert to fraction form
    231,100.98/318,921.46 = 135,609.26/x
  3. Step 3: Cross multiply
    231,100.98x = 318,921.46 × 135,609.26
  4. Step 4: Simplify right side
    231,100.98x = 43,248,703,188.72
  5. Step 5: Solve for x
    x = 43,248,703,188.72/231,100.98
  6. Step 6: Final answer
    x = 187,142.02

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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.