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Finding the Fourth Proportional to 206,886.20, 310,256.40 and 73,770.80

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Solution

The fourth proportional to 206,886.20, 310,256.40 and 73,770.80 is: 110,630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,886.20 : 310,256.40 = 73,770.80 : x
  2. Step 2: Convert to fraction form
    206,886.20/310,256.40 = 73,770.80/x
  3. Step 3: Cross multiply
    206,886.20x = 310,256.40 × 73,770.80
  4. Step 4: Simplify right side
    206,886.20x = 22,887,862,833.12
  5. Step 5: Solve for x
    x = 22,887,862,833.12/206,886.20
  6. Step 6: Final answer
    x = 110,630.21

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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.