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Finding the Fourth Proportional to 206,650.72, 309,973.92 and 66,409.48

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Solution

The fourth proportional to 206,650.72, 309,973.92 and 66,409.48 is: 99,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,650.72 : 309,973.92 = 66,409.48 : x
  2. Step 2: Convert to fraction form
    206,650.72/309,973.92 = 66,409.48/x
  3. Step 3: Cross multiply
    206,650.72x = 309,973.92 × 66,409.48
  4. Step 4: Simplify right side
    206,650.72x = 20,585,206,840.76
  5. Step 5: Solve for x
    x = 20,585,206,840.76/206,650.72
  6. Step 6: Final answer
    x = 99,613.53

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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.