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Finding the Fourth Proportional to 206,544.10, 309,830.98 and 86,480.22

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Solution

The fourth proportional to 206,544.10, 309,830.98 and 86,480.22 is: 129,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,544.10 : 309,830.98 = 86,480.22 : x
  2. Step 2: Convert to fraction form
    206,544.10/309,830.98 = 86,480.22/x
  3. Step 3: Cross multiply
    206,544.10x = 309,830.98 × 86,480.22
  4. Step 4: Simplify right side
    206,544.10x = 26,794,251,313.22
  5. Step 5: Solve for x
    x = 26,794,251,313.22/206,544.10
  6. Step 6: Final answer
    x = 129,726.54

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1.5x scale

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.