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Finding the Fourth Proportional to 231,820.92, 319,920.78 and 129,850.74

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Solution

The fourth proportional to 231,820.92, 319,920.78 and 129,850.74 is: 179,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,820.92 : 319,920.78 = 129,850.74 : x
  2. Step 2: Convert to fraction form
    231,820.92/319,920.78 = 129,850.74/x
  3. Step 3: Cross multiply
    231,820.92x = 319,920.78 × 129,850.74
  4. Step 4: Simplify right side
    231,820.92x = 41,541,950,024.38
  5. Step 5: Solve for x
    x = 41,541,950,024.38/231,820.92
  6. Step 6: Final answer
    x = 179,198.45

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1.5x scale

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.