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Finding the Fourth Proportional to 202,488.32, 303,720.17 and 84,160.68

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Solution

The fourth proportional to 202,488.32, 303,720.17 and 84,160.68 is: 126,235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,488.32 : 303,720.17 = 84,160.68 : x
  2. Step 2: Convert to fraction form
    202,488.32/303,720.17 = 84,160.68/x
  3. Step 3: Cross multiply
    202,488.32x = 303,720.17 × 84,160.68
  4. Step 4: Simplify right side
    202,488.32x = 25,561,295,616.11
  5. Step 5: Solve for x
    x = 25,561,295,616.11/202,488.32
  6. Step 6: Final answer
    x = 126,235.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.