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Finding the Fourth Proportional to 212,716.44, 319,055.22 and 64,972.44

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Solution

The fourth proportional to 212,716.44, 319,055.22 and 64,972.44 is: 97,452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,716.44 : 319,055.22 = 64,972.44 : x
  2. Step 2: Convert to fraction form
    212,716.44/319,055.22 = 64,972.44/x
  3. Step 3: Cross multiply
    212,716.44x = 319,055.22 × 64,972.44
  4. Step 4: Simplify right side
    212,716.44x = 20,729,796,138.14
  5. Step 5: Solve for x
    x = 20,729,796,138.14/212,716.44
  6. Step 6: Final answer
    x = 97,452.72

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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.