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Finding the Fourth Proportional to 217,542.65, 300,226.94 and 120,755.60

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Solution

The fourth proportional to 217,542.65, 300,226.94 and 120,755.60 is: 166,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,542.65 : 300,226.94 = 120,755.60 : x
  2. Step 2: Convert to fraction form
    217,542.65/300,226.94 = 120,755.60/x
  3. Step 3: Cross multiply
    217,542.65x = 300,226.94 × 120,755.60
  4. Step 4: Simplify right side
    217,542.65x = 36,254,082,170.95
  5. Step 5: Solve for x
    x = 36,254,082,170.95/217,542.65
  6. Step 6: Final answer
    x = 166,652.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.