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Finding the Fourth Proportional to 206,350.56, 309,369.87 and 135,291.08

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Solution

The fourth proportional to 206,350.56, 309,369.87 and 135,291.08 is: 202,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,350.56 : 309,369.87 = 135,291.08 : x
  2. Step 2: Convert to fraction form
    206,350.56/309,369.87 = 135,291.08/x
  3. Step 3: Cross multiply
    206,350.56x = 309,369.87 × 135,291.08
  4. Step 4: Simplify right side
    206,350.56x = 41,854,983,831.76
  5. Step 5: Solve for x
    x = 41,854,983,831.76/206,350.56
  6. Step 6: Final answer
    x = 202,834.36

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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.