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Finding the Fourth Proportional to 70,781.85, 106,173.32 and 25,835.42

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Solution

The fourth proportional to 70,781.85, 106,173.32 and 25,835.42 is: 38,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,781.85 : 106,173.32 = 25,835.42 : x
  2. Step 2: Convert to fraction form
    70,781.85/106,173.32 = 25,835.42/x
  3. Step 3: Cross multiply
    70,781.85x = 106,173.32 × 25,835.42
  4. Step 4: Simplify right side
    70,781.85x = 2,743,032,451.25
  5. Step 5: Solve for x
    x = 2,743,032,451.25/70,781.85
  6. Step 6: Final answer
    x = 38,753.33

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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.