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Finding the Fourth Proportional to 143,990.64, 198,708.20 and 80,318.16

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Solution

The fourth proportional to 143,990.64, 198,708.20 and 80,318.16 is: 110,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,990.64 : 198,708.20 = 80,318.16 : x
  2. Step 2: Convert to fraction form
    143,990.64/198,708.20 = 80,318.16/x
  3. Step 3: Cross multiply
    143,990.64x = 198,708.20 × 80,318.16
  4. Step 4: Simplify right side
    143,990.64x = 15,959,877,000.91
  5. Step 5: Solve for x
    x = 15,959,877,000.91/143,990.64
  6. Step 6: Final answer
    x = 110,839.68

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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.