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Finding the Fourth Proportional to 131,116.44, 196,655.22 and 47,991

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Solution

The fourth proportional to 131,116.44, 196,655.22 and 47,991 is: 71,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,116.44 : 196,655.22 = 47,991 : x
  2. Step 2: Convert to fraction form
    131,116.44/196,655.22 = 47,991/x
  3. Step 3: Cross multiply
    131,116.44x = 196,655.22 × 47,991
  4. Step 4: Simplify right side
    131,116.44x = 9,437,680,663.02
  5. Step 5: Solve for x
    x = 9,437,680,663.02/131,116.44
  6. Step 6: Final answer
    x = 71,979.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.