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Finding the Fourth Proportional to 212,882.72, 319,231.36 and 61,046.25

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Solution

The fourth proportional to 212,882.72, 319,231.36 and 61,046.25 is: 91,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,882.72 : 319,231.36 = 61,046.25 : x
  2. Step 2: Convert to fraction form
    212,882.72/319,231.36 = 61,046.25/x
  3. Step 3: Cross multiply
    212,882.72x = 319,231.36 × 61,046.25
  4. Step 4: Simplify right side
    212,882.72x = 19,487,877,410.40
  5. Step 5: Solve for x
    x = 19,487,877,410.40/212,882.72
  6. Step 6: Final answer
    x = 91,542.79

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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.