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Finding the Fourth Proportional to 143,679.40, 198,301.70 and 83,287.82

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Solution

The fourth proportional to 143,679.40, 198,301.70 and 83,287.82 is: 114,951.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,679.40 : 198,301.70 = 83,287.82 : x
  2. Step 2: Convert to fraction form
    143,679.40/198,301.70 = 83,287.82/x
  3. Step 3: Cross multiply
    143,679.40x = 198,301.70 × 83,287.82
  4. Step 4: Simplify right side
    143,679.40x = 16,516,116,295.29
  5. Step 5: Solve for x
    x = 16,516,116,295.29/143,679.40
  6. Step 6: Final answer
    x = 114,951.18

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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.