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Finding the Fourth Proportional to 57,878.90, 86,756.84 and 27,874.43

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Solution

The fourth proportional to 57,878.90, 86,756.84 and 27,874.43 is: 41,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,878.90 : 86,756.84 = 27,874.43 : x
  2. Step 2: Convert to fraction form
    57,878.90/86,756.84 = 27,874.43/x
  3. Step 3: Cross multiply
    57,878.90x = 86,756.84 × 27,874.43
  4. Step 4: Simplify right side
    57,878.90x = 2,418,297,463.60
  5. Step 5: Solve for x
    x = 2,418,297,463.60/57,878.90
  6. Step 6: Final answer
    x = 41,782.02

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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.