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Finding the Fourth Proportional to 231,862.58, 319,982.25 and 129,881.90

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Solution

The fourth proportional to 231,862.58, 319,982.25 and 129,881.90 is: 179,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,862.58 : 319,982.25 = 129,881.90 : x
  2. Step 2: Convert to fraction form
    231,862.58/319,982.25 = 129,881.90/x
  3. Step 3: Cross multiply
    231,862.58x = 319,982.25 × 129,881.90
  4. Step 4: Simplify right side
    231,862.58x = 41,559,902,596.28
  5. Step 5: Solve for x
    x = 41,559,902,596.28/231,862.58
  6. Step 6: Final answer
    x = 179,243.68

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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.