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Finding the Fourth Proportional to 253,122.90, 379,691.24 and 110,895

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Solution

The fourth proportional to 253,122.90, 379,691.24 and 110,895 is: 166,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,122.90 : 379,691.24 = 110,895 : x
  2. Step 2: Convert to fraction form
    253,122.90/379,691.24 = 110,895/x
  3. Step 3: Cross multiply
    253,122.90x = 379,691.24 × 110,895
  4. Step 4: Simplify right side
    253,122.90x = 42,105,859,505.33
  5. Step 5: Solve for x
    x = 42,105,859,505.33/253,122.90
  6. Step 6: Final answer
    x = 166,345.52

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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.