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Finding the Fourth Proportional to 231,689.85, 319,716.54 and 129,698.07

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Solution

The fourth proportional to 231,689.85, 319,716.54 and 129,698.07 is: 178,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,689.85 : 319,716.54 = 129,698.07 : x
  2. Step 2: Convert to fraction form
    231,689.85/319,716.54 = 129,698.07/x
  3. Step 3: Cross multiply
    231,689.85x = 319,716.54 × 129,698.07
  4. Step 4: Simplify right side
    231,689.85x = 41,466,618,185.08
  5. Step 5: Solve for x
    x = 41,466,618,185.08/231,689.85
  6. Step 6: Final answer
    x = 178,974.69

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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.