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Finding the Fourth Proportional to 120,398.94, 180,594.36 and 57,249.72

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Solution

The fourth proportional to 120,398.94, 180,594.36 and 57,249.72 is: 85,872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,398.94 : 180,594.36 = 57,249.72 : x
  2. Step 2: Convert to fraction form
    120,398.94/180,594.36 = 57,249.72/x
  3. Step 3: Cross multiply
    120,398.94x = 180,594.36 × 57,249.72
  4. Step 4: Simplify right side
    120,398.94x = 10,338,976,543.58
  5. Step 5: Solve for x
    x = 10,338,976,543.58/120,398.94
  6. Step 6: Final answer
    x = 85,872.65

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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.