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Finding the Fourth Proportional to 57,605.92, 86,424 and 18,164.32

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Solution

The fourth proportional to 57,605.92, 86,424 and 18,164.32 is: 27,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,605.92 : 86,424 = 18,164.32 : x
  2. Step 2: Convert to fraction form
    57,605.92/86,424 = 18,164.32/x
  3. Step 3: Cross multiply
    57,605.92x = 86,424 × 18,164.32
  4. Step 4: Simplify right side
    57,605.92x = 1,569,833,191.68
  5. Step 5: Solve for x
    x = 1,569,833,191.68/57,605.92
  6. Step 6: Final answer
    x = 27,251.25

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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.