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Finding the Fourth Proportional to 143,856.64, 198,528.90 and 80,194.90

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Solution

The fourth proportional to 143,856.64, 198,528.90 and 80,194.90 is: 110,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,856.64 : 198,528.90 = 80,194.90 : x
  2. Step 2: Convert to fraction form
    143,856.64/198,528.90 = 80,194.90/x
  3. Step 3: Cross multiply
    143,856.64x = 198,528.90 × 80,194.90
  4. Step 4: Simplify right side
    143,856.64x = 15,921,005,282.61
  5. Step 5: Solve for x
    x = 15,921,005,282.61/143,856.64
  6. Step 6: Final answer
    x = 110,672.72

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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.