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Finding the Fourth Proportional to 143,612, 198,189.12 and 89,879.84

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Solution

The fourth proportional to 143,612, 198,189.12 and 89,879.84 is: 124,037.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,612 : 198,189.12 = 89,879.84 : x
  2. Step 2: Convert to fraction form
    143,612/198,189.12 = 89,879.84/x
  3. Step 3: Cross multiply
    143,612x = 198,189.12 × 89,879.84
  4. Step 4: Simplify right side
    143,612x = 17,813,206,395.34
  5. Step 5: Solve for x
    x = 17,813,206,395.34/143,612
  6. Step 6: Final answer
    x = 124,037.03

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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.