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Finding the Fourth Proportional to 120,423.41, 180,660.48 and 45,541.90

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Solution

The fourth proportional to 120,423.41, 180,660.48 and 45,541.90 is: 68,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,423.41 : 180,660.48 = 45,541.90 : x
  2. Step 2: Convert to fraction form
    120,423.41/180,660.48 = 45,541.90/x
  3. Step 3: Cross multiply
    120,423.41x = 180,660.48 × 45,541.90
  4. Step 4: Simplify right side
    120,423.41x = 8,227,620,552.94
  5. Step 5: Solve for x
    x = 8,227,620,552.94/120,423.41
  6. Step 6: Final answer
    x = 68,322.44

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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.