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Finding the Fourth Proportional to 57,442.72, 86,164.20 and 15,889.84

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Solution

The fourth proportional to 57,442.72, 86,164.20 and 15,889.84 is: 23,834.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,442.72 : 86,164.20 = 15,889.84 : x
  2. Step 2: Convert to fraction form
    57,442.72/86,164.20 = 15,889.84/x
  3. Step 3: Cross multiply
    57,442.72x = 86,164.20 × 15,889.84
  4. Step 4: Simplify right side
    57,442.72x = 1,369,135,351.73
  5. Step 5: Solve for x
    x = 1,369,135,351.73/57,442.72
  6. Step 6: Final answer
    x = 23,834.79

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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.