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Finding the Fourth Proportional to 231,672.47, 319,714.11 and 129,697.47

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Solution

The fourth proportional to 231,672.47, 319,714.11 and 129,697.47 is: 178,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,672.47 : 319,714.11 = 129,697.47 : x
  2. Step 2: Convert to fraction form
    231,672.47/319,714.11 = 129,697.47/x
  3. Step 3: Cross multiply
    231,672.47x = 319,714.11 × 129,697.47
  4. Step 4: Simplify right side
    231,672.47x = 41,466,111,190.30
  5. Step 5: Solve for x
    x = 41,466,111,190.30/231,672.47
  6. Step 6: Final answer
    x = 178,985.93

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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.