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Finding the Fourth Proportional to 206,732.10, 309,901.29 and 66,392.31

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Solution

The fourth proportional to 206,732.10, 309,901.29 and 66,392.31 is: 99,525.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,732.10 : 309,901.29 = 66,392.31 : x
  2. Step 2: Convert to fraction form
    206,732.10/309,901.29 = 66,392.31/x
  3. Step 3: Cross multiply
    206,732.10x = 309,901.29 × 66,392.31
  4. Step 4: Simplify right side
    206,732.10x = 20,575,062,515.08
  5. Step 5: Solve for x
    x = 20,575,062,515.08/206,732.10
  6. Step 6: Final answer
    x = 99,525.24

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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.