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Finding the Fourth Proportional to 120,414.08, 180,732 and 61,292

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Solution

The fourth proportional to 120,414.08, 180,732 and 61,292 is: 91,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,414.08 : 180,732 = 61,292 : x
  2. Step 2: Convert to fraction form
    120,414.08/180,732 = 61,292/x
  3. Step 3: Cross multiply
    120,414.08x = 180,732 × 61,292
  4. Step 4: Simplify right side
    120,414.08x = 11,077,425,744
  5. Step 5: Solve for x
    x = 11,077,425,744/120,414.08
  6. Step 6: Final answer
    x = 91,994.44

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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.