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Finding the Fourth Proportional to 206,373.57, 309,496.49 and 99,691.26

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Solution

The fourth proportional to 206,373.57, 309,496.49 and 99,691.26 is: 149,506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,373.57 : 309,496.49 = 99,691.26 : x
  2. Step 2: Convert to fraction form
    206,373.57/309,496.49 = 99,691.26/x
  3. Step 3: Cross multiply
    206,373.57x = 309,496.49 × 99,691.26
  4. Step 4: Simplify right side
    206,373.57x = 30,854,094,329.21
  5. Step 5: Solve for x
    x = 30,854,094,329.21/206,373.57
  6. Step 6: Final answer
    x = 149,506.03

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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.