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Finding the Fourth Proportional to 206,597.28, 309,772.04 and 71,616.72

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Solution

The fourth proportional to 206,597.28, 309,772.04 and 71,616.72 is: 107,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,597.28 : 309,772.04 = 71,616.72 : x
  2. Step 2: Convert to fraction form
    206,597.28/309,772.04 = 71,616.72/x
  3. Step 3: Cross multiply
    206,597.28x = 309,772.04 × 71,616.72
  4. Step 4: Simplify right side
    206,597.28x = 22,184,857,452.51
  5. Step 5: Solve for x
    x = 22,184,857,452.51/206,597.28
  6. Step 6: Final answer
    x = 107,382.14

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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.