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Finding the Fourth Proportional to 57,478, 86,216.91 and 18,038.14

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Solution

The fourth proportional to 57,478, 86,216.91 and 18,038.14 is: 27,057.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,478 : 86,216.91 = 18,038.14 : x
  2. Step 2: Convert to fraction form
    57,478/86,216.91 = 18,038.14/x
  3. Step 3: Cross multiply
    57,478x = 86,216.91 × 18,038.14
  4. Step 4: Simplify right side
    57,478x = 1,555,192,692.95
  5. Step 5: Solve for x
    x = 1,555,192,692.95/57,478
  6. Step 6: Final answer
    x = 27,057.18

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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.