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Finding the Fourth Proportional to 230,820.88, 318,676.82 and 149,191.86

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Solution

The fourth proportional to 230,820.88, 318,676.82 and 149,191.86 is: 205,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,820.88 : 318,676.82 = 149,191.86 : x
  2. Step 2: Convert to fraction form
    230,820.88/318,676.82 = 149,191.86/x
  3. Step 3: Cross multiply
    230,820.88x = 318,676.82 × 149,191.86
  4. Step 4: Simplify right side
    230,820.88x = 47,543,987,514.69
  5. Step 5: Solve for x
    x = 47,543,987,514.69/230,820.88
  6. Step 6: Final answer
    x = 205,977.85

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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.