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Finding the Fourth Proportional to 77,214, 115,821 and 21,811.44

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Solution

The fourth proportional to 77,214, 115,821 and 21,811.44 is: 32,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,214 : 115,821 = 21,811.44 : x
  2. Step 2: Convert to fraction form
    77,214/115,821 = 21,811.44/x
  3. Step 3: Cross multiply
    77,214x = 115,821 × 21,811.44
  4. Step 4: Simplify right side
    77,214x = 2,526,222,792.24
  5. Step 5: Solve for x
    x = 2,526,222,792.24/77,214
  6. Step 6: Final answer
    x = 32,717.16

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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.