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Finding the Fourth Proportional to 206,661.10, 309,991.65 and 185,665.90

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Solution

The fourth proportional to 206,661.10, 309,991.65 and 185,665.90 is: 278,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,661.10 : 309,991.65 = 185,665.90 : x
  2. Step 2: Convert to fraction form
    206,661.10/309,991.65 = 185,665.90/x
  3. Step 3: Cross multiply
    206,661.10x = 309,991.65 × 185,665.90
  4. Step 4: Simplify right side
    206,661.10x = 57,554,878,689.74
  5. Step 5: Solve for x
    x = 57,554,878,689.74/206,661.10
  6. Step 6: Final answer
    x = 278,498.85

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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.