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Finding the Fourth Proportional to 143,703.38, 198,310.72 and 83,309.03

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Solution

The fourth proportional to 143,703.38, 198,310.72 and 83,309.03 is: 114,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,703.38 : 198,310.72 = 83,309.03 : x
  2. Step 2: Convert to fraction form
    143,703.38/198,310.72 = 83,309.03/x
  3. Step 3: Cross multiply
    143,703.38x = 198,310.72 × 83,309.03
  4. Step 4: Simplify right side
    143,703.38x = 16,521,073,721.80
  5. Step 5: Solve for x
    x = 16,521,073,721.80/143,703.38
  6. Step 6: Final answer
    x = 114,966.49

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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.