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Finding the Fourth Proportional to 131,492, 181,458.96 and 71,876

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Solution

The fourth proportional to 131,492, 181,458.96 and 71,876 is: 99,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,492 : 181,458.96 = 71,876 : x
  2. Step 2: Convert to fraction form
    131,492/181,458.96 = 71,876/x
  3. Step 3: Cross multiply
    131,492x = 181,458.96 × 71,876
  4. Step 4: Simplify right side
    131,492x = 13,042,544,208.96
  5. Step 5: Solve for x
    x = 13,042,544,208.96/131,492
  6. Step 6: Final answer
    x = 99,188.88

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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.