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Finding the Fourth Proportional to 206,872.13, 310,308.20 and 66,630.75

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Solution

The fourth proportional to 206,872.13, 310,308.20 and 66,630.75 is: 99,946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,872.13 : 310,308.20 = 66,630.75 : x
  2. Step 2: Convert to fraction form
    206,872.13/310,308.20 = 66,630.75/x
  3. Step 3: Cross multiply
    206,872.13x = 310,308.20 × 66,630.75
  4. Step 4: Simplify right side
    206,872.13x = 20,676,068,097.15
  5. Step 5: Solve for x
    x = 20,676,068,097.15/206,872.13
  6. Step 6: Final answer
    x = 99,946.13

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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.