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Finding the Fourth Proportional to 206,358.40, 309,558.81 and 71,422.20

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Solution

The fourth proportional to 206,358.40, 309,558.81 and 71,422.20 is: 107,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,358.40 : 309,558.81 = 71,422.20 : x
  2. Step 2: Convert to fraction form
    206,358.40/309,558.81 = 71,422.20/x
  3. Step 3: Cross multiply
    206,358.40x = 309,558.81 × 71,422.20
  4. Step 4: Simplify right side
    206,358.40x = 22,109,371,165.22
  5. Step 5: Solve for x
    x = 22,109,371,165.22/206,358.40
  6. Step 6: Final answer
    x = 107,140.64

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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.