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Finding the Fourth Proportional to 206,421.72, 309,661.80 and 66,147.60

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Solution

The fourth proportional to 206,421.72, 309,661.80 and 66,147.60 is: 99,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,421.72 : 309,661.80 = 66,147.60 : x
  2. Step 2: Convert to fraction form
    206,421.72/309,661.80 = 66,147.60/x
  3. Step 3: Cross multiply
    206,421.72x = 309,661.80 × 66,147.60
  4. Step 4: Simplify right side
    206,421.72x = 20,483,384,881.68
  5. Step 5: Solve for x
    x = 20,483,384,881.68/206,421.72
  6. Step 6: Final answer
    x = 99,230.76

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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.