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Finding the Fourth Proportional to 231,846.60, 319,952.34 and 129,871.20

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Solution

The fourth proportional to 231,846.60, 319,952.34 and 129,871.20 is: 179,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,846.60 : 319,952.34 = 129,871.20 : x
  2. Step 2: Convert to fraction form
    231,846.60/319,952.34 = 129,871.20/x
  3. Step 3: Cross multiply
    231,846.60x = 319,952.34 × 129,871.20
  4. Step 4: Simplify right side
    231,846.60x = 41,552,594,338.61
  5. Step 5: Solve for x
    x = 41,552,594,338.61/231,846.60
  6. Step 6: Final answer
    x = 179,224.51

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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.