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Finding the Fourth Proportional to 231,462.76, 319,418.66 and 130,859.88

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Solution

The fourth proportional to 231,462.76, 319,418.66 and 130,859.88 is: 180,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,462.76 : 319,418.66 = 130,859.88 : x
  2. Step 2: Convert to fraction form
    231,462.76/319,418.66 = 130,859.88/x
  3. Step 3: Cross multiply
    231,462.76x = 319,418.66 × 130,859.88
  4. Step 4: Simplify right side
    231,462.76x = 41,799,087,517.36
  5. Step 5: Solve for x
    x = 41,799,087,517.36/231,462.76
  6. Step 6: Final answer
    x = 180,586.66

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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.