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Finding the Fourth Proportional to 77,213.25, 115,839.32 and 21,809.25

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Solution

The fourth proportional to 77,213.25, 115,839.32 and 21,809.25 is: 32,719.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,213.25 : 115,839.32 = 21,809.25 : x
  2. Step 2: Convert to fraction form
    77,213.25/115,839.32 = 21,809.25/x
  3. Step 3: Cross multiply
    77,213.25x = 115,839.32 × 21,809.25
  4. Step 4: Simplify right side
    77,213.25x = 2,526,368,580.66
  5. Step 5: Solve for x
    x = 2,526,368,580.66/77,213.25
  6. Step 6: Final answer
    x = 32,719.37

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1.5x scale

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.