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Finding the Fourth Proportional to 120,628.95, 180,884.82 and 36,373.50

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Solution

The fourth proportional to 120,628.95, 180,884.82 and 36,373.50 is: 54,542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,628.95 : 180,884.82 = 36,373.50 : x
  2. Step 2: Convert to fraction form
    120,628.95/180,884.82 = 36,373.50/x
  3. Step 3: Cross multiply
    120,628.95x = 180,884.82 × 36,373.50
  4. Step 4: Simplify right side
    120,628.95x = 6,579,414,000.27
  5. Step 5: Solve for x
    x = 6,579,414,000.27/120,628.95
  6. Step 6: Final answer
    x = 54,542.58

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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.