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Finding the Fourth Proportional to 206,208.16, 309,306.48 and 65,975.20

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Solution

The fourth proportional to 206,208.16, 309,306.48 and 65,975.20 is: 98,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,208.16 : 309,306.48 = 65,975.20 : x
  2. Step 2: Convert to fraction form
    206,208.16/309,306.48 = 65,975.20/x
  3. Step 3: Cross multiply
    206,208.16x = 309,306.48 × 65,975.20
  4. Step 4: Simplify right side
    206,208.16x = 20,406,556,879.30
  5. Step 5: Solve for x
    x = 20,406,556,879.30/206,208.16
  6. Step 6: Final answer
    x = 98,960.96

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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.