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Finding the Fourth Proportional to 57,878, 86,816.92 and 38,012.88

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Solution

The fourth proportional to 57,878, 86,816.92 and 38,012.88 is: 57,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,878 : 86,816.92 = 38,012.88 : x
  2. Step 2: Convert to fraction form
    57,878/86,816.92 = 38,012.88/x
  3. Step 3: Cross multiply
    57,878x = 86,816.92 × 38,012.88
  4. Step 4: Simplify right side
    57,878x = 3,300,161,161.93
  5. Step 5: Solve for x
    x = 3,300,161,161.93/57,878
  6. Step 6: Final answer
    x = 57,019.27

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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.