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Finding the Fourth Proportional to 206,169.90, 309,211.65 and 101,064.30

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Solution

The fourth proportional to 206,169.90, 309,211.65 and 101,064.30 is: 151,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,169.90 : 309,211.65 = 101,064.30 : x
  2. Step 2: Convert to fraction form
    206,169.90/309,211.65 = 101,064.30/x
  3. Step 3: Cross multiply
    206,169.90x = 309,211.65 × 101,064.30
  4. Step 4: Simplify right side
    206,169.90x = 31,250,258,959.10
  5. Step 5: Solve for x
    x = 31,250,258,959.10/206,169.90
  6. Step 6: Final answer
    x = 151,575.27

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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.