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Finding the Fourth Proportional to 211,676, 292,102.31 and 125,638.73

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Solution

The fourth proportional to 211,676, 292,102.31 and 125,638.73 is: 173,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,676 : 292,102.31 = 125,638.73 : x
  2. Step 2: Convert to fraction form
    211,676/292,102.31 = 125,638.73/x
  3. Step 3: Cross multiply
    211,676x = 292,102.31 × 125,638.73
  4. Step 4: Simplify right side
    211,676x = 36,699,361,169.76
  5. Step 5: Solve for x
    x = 36,699,361,169.76/211,676
  6. Step 6: Final answer
    x = 173,375.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.