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Finding the Fourth Proportional to 143,710.66, 198,318.09 and 80,047.09

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Solution

The fourth proportional to 143,710.66, 198,318.09 and 80,047.09 is: 110,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,710.66 : 198,318.09 = 80,047.09 : x
  2. Step 2: Convert to fraction form
    143,710.66/198,318.09 = 80,047.09/x
  3. Step 3: Cross multiply
    143,710.66x = 198,318.09 × 80,047.09
  4. Step 4: Simplify right side
    143,710.66x = 15,874,785,998.86
  5. Step 5: Solve for x
    x = 15,874,785,998.86/143,710.66
  6. Step 6: Final answer
    x = 110,463.52

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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.