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Finding the Fourth Proportional to 120,408.76, 180,621.78 and 41,521.84

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Solution

The fourth proportional to 120,408.76, 180,621.78 and 41,521.84 is: 62,285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,408.76 : 180,621.78 = 41,521.84 : x
  2. Step 2: Convert to fraction form
    120,408.76/180,621.78 = 41,521.84/x
  3. Step 3: Cross multiply
    120,408.76x = 180,621.78 × 41,521.84
  4. Step 4: Simplify right side
    120,408.76x = 7,499,748,649.68
  5. Step 5: Solve for x
    x = 7,499,748,649.68/120,408.76
  6. Step 6: Final answer
    x = 62,285.74

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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.