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Finding the Fourth Proportional to 120,327, 165,680.37 and 106,874.88

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Solution

The fourth proportional to 120,327, 165,680.37 and 106,874.88 is: 147,157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,327 : 165,680.37 = 106,874.88 : x
  2. Step 2: Convert to fraction form
    120,327/165,680.37 = 106,874.88/x
  3. Step 3: Cross multiply
    120,327x = 165,680.37 × 106,874.88
  4. Step 4: Simplify right side
    120,327x = 17,707,069,662.11
  5. Step 5: Solve for x
    x = 17,707,069,662.11/120,327
  6. Step 6: Final answer
    x = 147,157.91

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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.