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Finding the Fourth Proportional to 57,442, 86,158.02 and 19,992.40

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Solution

The fourth proportional to 57,442, 86,158.02 and 19,992.40 is: 29,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,442 : 86,158.02 = 19,992.40 : x
  2. Step 2: Convert to fraction form
    57,442/86,158.02 = 19,992.40/x
  3. Step 3: Cross multiply
    57,442x = 86,158.02 × 19,992.40
  4. Step 4: Simplify right side
    57,442x = 1,722,505,599.05
  5. Step 5: Solve for x
    x = 1,722,505,599.05/57,442
  6. Step 6: Final answer
    x = 29,986.87

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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.