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Finding the Fourth Proportional to 143,759.70, 198,390.33 and 83,333.70

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Solution

The fourth proportional to 143,759.70, 198,390.33 and 83,333.70 is: 115,001.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,759.70 : 198,390.33 = 83,333.70 : x
  2. Step 2: Convert to fraction form
    143,759.70/198,390.33 = 83,333.70/x
  3. Step 3: Cross multiply
    143,759.70x = 198,390.33 × 83,333.70
  4. Step 4: Simplify right side
    143,759.70x = 16,532,600,243.12
  5. Step 5: Solve for x
    x = 16,532,600,243.12/143,759.70
  6. Step 6: Final answer
    x = 115,001.63

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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.