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Finding the Fourth Proportional to 231,854.88, 319,971.72 and 129,874.38

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Solution

The fourth proportional to 231,854.88, 319,971.72 and 129,874.38 is: 179,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,854.88 : 319,971.72 = 129,874.38 : x
  2. Step 2: Convert to fraction form
    231,854.88/319,971.72 = 129,874.38/x
  3. Step 3: Cross multiply
    231,854.88x = 319,971.72 × 129,874.38
  4. Step 4: Simplify right side
    231,854.88x = 41,556,128,752.53
  5. Step 5: Solve for x
    x = 41,556,128,752.53/231,854.88
  6. Step 6: Final answer
    x = 179,233.36

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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.