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Finding the Fourth Proportional to 206,771.70, 310,127.58 and 66,512.10

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Solution

The fourth proportional to 206,771.70, 310,127.58 and 66,512.10 is: 99,758.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,771.70 : 310,127.58 = 66,512.10 : x
  2. Step 2: Convert to fraction form
    206,771.70/310,127.58 = 66,512.10/x
  3. Step 3: Cross multiply
    206,771.70x = 310,127.58 × 66,512.10
  4. Step 4: Simplify right side
    206,771.70x = 20,627,236,613.72
  5. Step 5: Solve for x
    x = 20,627,236,613.72/206,771.70
  6. Step 6: Final answer
    x = 99,758.51

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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.