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Finding the Fourth Proportional to 231,876, 319,995.36 and 131,280.48

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Solution

The fourth proportional to 231,876, 319,995.36 and 131,280.48 is: 181,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,876 : 319,995.36 = 131,280.48 : x
  2. Step 2: Convert to fraction form
    231,876/319,995.36 = 131,280.48/x
  3. Step 3: Cross multiply
    231,876x = 319,995.36 × 131,280.48
  4. Step 4: Simplify right side
    231,876x = 42,009,144,458.57
  5. Step 5: Solve for x
    x = 42,009,144,458.57/231,876
  6. Step 6: Final answer
    x = 181,170.73

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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.