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Finding the Fourth Proportional to 77,188.40, 115,766.40 and 21,771.44

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Solution

The fourth proportional to 77,188.40, 115,766.40 and 21,771.44 is: 32,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,188.40 : 115,766.40 = 21,771.44 : x
  2. Step 2: Convert to fraction form
    77,188.40/115,766.40 = 21,771.44/x
  3. Step 3: Cross multiply
    77,188.40x = 115,766.40 × 21,771.44
  4. Step 4: Simplify right side
    77,188.40x = 2,520,401,231.62
  5. Step 5: Solve for x
    x = 2,520,401,231.62/77,188.40
  6. Step 6: Final answer
    x = 32,652.59

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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.