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Finding the Fourth Proportional to 82,157.43, 122,545.87 and 74,589.48

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Solution

The fourth proportional to 82,157.43, 122,545.87 and 74,589.48 is: 111,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,157.43 : 122,545.87 = 74,589.48 : x
  2. Step 2: Convert to fraction form
    82,157.43/122,545.87 = 74,589.48/x
  3. Step 3: Cross multiply
    82,157.43x = 122,545.87 × 74,589.48
  4. Step 4: Simplify right side
    82,157.43x = 9,140,632,719.45
  5. Step 5: Solve for x
    x = 9,140,632,719.45/82,157.43
  6. Step 6: Final answer
    x = 111,257.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.