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Finding the Fourth Proportional to 206,497.54, 309,778.71 and 88,169.50

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Solution

The fourth proportional to 206,497.54, 309,778.71 and 88,169.50 is: 132,268.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,497.54 : 309,778.71 = 88,169.50 : x
  2. Step 2: Convert to fraction form
    206,497.54/309,778.71 = 88,169.50/x
  3. Step 3: Cross multiply
    206,497.54x = 309,778.71 × 88,169.50
  4. Step 4: Simplify right side
    206,497.54x = 27,313,033,971.35
  5. Step 5: Solve for x
    x = 27,313,033,971.35/206,497.54
  6. Step 6: Final answer
    x = 132,268.08

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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.