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Finding the Fourth Proportional to 120,408.44, 180,621.32 and 41,521.53

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Solution

The fourth proportional to 120,408.44, 180,621.32 and 41,521.53 is: 62,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,408.44 : 180,621.32 = 41,521.53 : x
  2. Step 2: Convert to fraction form
    120,408.44/180,621.32 = 41,521.53/x
  3. Step 3: Cross multiply
    120,408.44x = 180,621.32 × 41,521.53
  4. Step 4: Simplify right side
    120,408.44x = 7,499,673,349.41
  5. Step 5: Solve for x
    x = 7,499,673,349.41/120,408.44
  6. Step 6: Final answer
    x = 62,285.28

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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.