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Finding the Fourth Proportional to 57,916, 86,874 and 14,140

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Solution

The fourth proportional to 57,916, 86,874 and 14,140 is: 21,210

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,916 : 86,874 = 14,140 : x
  2. Step 2: Convert to fraction form
    57,916/86,874 = 14,140/x
  3. Step 3: Cross multiply
    57,916x = 86,874 × 14,140
  4. Step 4: Simplify right side
    57,916x = 1,228,398,360
  5. Step 5: Solve for x
    x = 1,228,398,360/57,916
  6. Step 6: Final answer
    x = 21,210

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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.