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Finding the Fourth Proportional to 120,492.78, 180,493.74 and 57,120.81

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Solution

The fourth proportional to 120,492.78, 180,493.74 and 57,120.81 is: 85,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,492.78 : 180,493.74 = 57,120.81 : x
  2. Step 2: Convert to fraction form
    120,492.78/180,493.74 = 57,120.81/x
  3. Step 3: Cross multiply
    120,492.78x = 180,493.74 × 57,120.81
  4. Step 4: Simplify right side
    120,492.78x = 10,309,948,628.73
  5. Step 5: Solve for x
    x = 10,309,948,628.73/120,492.78
  6. Step 6: Final answer
    x = 85,564.87

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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.