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Finding the Fourth Proportional to 143,759.69, 198,389.17 and 83,366.19

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Solution

The fourth proportional to 143,759.69, 198,389.17 and 83,366.19 is: 115,045.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,759.69 : 198,389.17 = 83,366.19 : x
  2. Step 2: Convert to fraction form
    143,759.69/198,389.17 = 83,366.19/x
  3. Step 3: Cross multiply
    143,759.69x = 198,389.17 × 83,366.19
  4. Step 4: Simplify right side
    143,759.69x = 16,538,949,020.87
  5. Step 5: Solve for x
    x = 16,538,949,020.87/143,759.69
  6. Step 6: Final answer
    x = 115,045.81

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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.