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Finding the Fourth Proportional to 90,513, 135,769.74 and 28,183.56

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Solution

The fourth proportional to 90,513, 135,769.74 and 28,183.56 is: 42,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,513 : 135,769.74 = 28,183.56 : x
  2. Step 2: Convert to fraction form
    90,513/135,769.74 = 28,183.56/x
  3. Step 3: Cross multiply
    90,513x = 135,769.74 × 28,183.56
  4. Step 4: Simplify right side
    90,513x = 3,826,474,613.47
  5. Step 5: Solve for x
    x = 3,826,474,613.47/90,513
  6. Step 6: Final answer
    x = 42,275.41

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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.