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Finding the Fourth Proportional to 57,871.20, 86,811.60 and 18,427.20

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Solution

The fourth proportional to 57,871.20, 86,811.60 and 18,427.20 is: 27,642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,871.20 : 86,811.60 = 18,427.20 : x
  2. Step 2: Convert to fraction form
    57,871.20/86,811.60 = 18,427.20/x
  3. Step 3: Cross multiply
    57,871.20x = 86,811.60 × 18,427.20
  4. Step 4: Simplify right side
    57,871.20x = 1,599,694,715.52
  5. Step 5: Solve for x
    x = 1,599,694,715.52/57,871.20
  6. Step 6: Final answer
    x = 27,642.33

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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.