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Finding the Fourth Proportional to 120,002.70, 180,004.05 and 53,474.70

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Solution

The fourth proportional to 120,002.70, 180,004.05 and 53,474.70 is: 80,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,002.70 : 180,004.05 = 53,474.70 : x
  2. Step 2: Convert to fraction form
    120,002.70/180,004.05 = 53,474.70/x
  3. Step 3: Cross multiply
    120,002.70x = 180,004.05 × 53,474.70
  4. Step 4: Simplify right side
    120,002.70x = 9,625,662,572.54
  5. Step 5: Solve for x
    x = 9,625,662,572.54/120,002.70
  6. Step 6: Final answer
    x = 80,212.05

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1.5x scale

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.