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Finding the Fourth Proportional to 206,404, 309,566.84 and 64,251.04

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Solution

The fourth proportional to 206,404, 309,566.84 and 64,251.04 is: 96,364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,404 : 309,566.84 = 64,251.04 : x
  2. Step 2: Convert to fraction form
    206,404/309,566.84 = 64,251.04/x
  3. Step 3: Cross multiply
    206,404x = 309,566.84 × 64,251.04
  4. Step 4: Simplify right side
    206,404x = 19,889,991,419.51
  5. Step 5: Solve for x
    x = 19,889,991,419.51/206,404
  6. Step 6: Final answer
    x = 96,364.37

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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.