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Finding the Fourth Proportional to 231,715.94, 319,741.56 and 129,727.22

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Solution

The fourth proportional to 231,715.94, 319,741.56 and 129,727.22 is: 179,008.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,715.94 : 319,741.56 = 129,727.22 : x
  2. Step 2: Convert to fraction form
    231,715.94/319,741.56 = 129,727.22/x
  3. Step 3: Cross multiply
    231,715.94x = 319,741.56 × 129,727.22
  4. Step 4: Simplify right side
    231,715.94x = 41,479,182,098.56
  5. Step 5: Solve for x
    x = 41,479,182,098.56/231,715.94
  6. Step 6: Final answer
    x = 179,008.76

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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.