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Finding the Fourth Proportional to 231,562.68, 319,571.28 and 129,599.88

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Solution

The fourth proportional to 231,562.68, 319,571.28 and 129,599.88 is: 178,856.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,562.68 : 319,571.28 = 129,599.88 : x
  2. Step 2: Convert to fraction form
    231,562.68/319,571.28 = 129,599.88/x
  3. Step 3: Cross multiply
    231,562.68x = 319,571.28 × 129,599.88
  4. Step 4: Simplify right side
    231,562.68x = 41,416,399,539.45
  5. Step 5: Solve for x
    x = 41,416,399,539.45/231,562.68
  6. Step 6: Final answer
    x = 178,856.11

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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.