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Finding the Fourth Proportional to 143,882.87, 198,554.36 and 83,449.71

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Solution

The fourth proportional to 143,882.87, 198,554.36 and 83,449.71 is: 115,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,882.87 : 198,554.36 = 83,449.71 : x
  2. Step 2: Convert to fraction form
    143,882.87/198,554.36 = 83,449.71/x
  3. Step 3: Cross multiply
    143,882.87x = 198,554.36 × 83,449.71
  4. Step 4: Simplify right side
    143,882.87x = 16,569,303,343.99
  5. Step 5: Solve for x
    x = 16,569,303,343.99/143,882.87
  6. Step 6: Final answer
    x = 115,158.28

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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.