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Finding the Fourth Proportional to 206,354.64, 309,576.56 and 64,197.20

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Solution

The fourth proportional to 206,354.64, 309,576.56 and 64,197.20 is: 96,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,354.64 : 309,576.56 = 64,197.20 : x
  2. Step 2: Convert to fraction form
    206,354.64/309,576.56 = 64,197.20/x
  3. Step 3: Cross multiply
    206,354.64x = 309,576.56 × 64,197.20
  4. Step 4: Simplify right side
    206,354.64x = 19,873,948,337.63
  5. Step 5: Solve for x
    x = 19,873,948,337.63/206,354.64
  6. Step 6: Final answer
    x = 96,309.68

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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.