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Finding the Fourth Proportional to 223,992, 309,108.96 and 123,396.48

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Solution

The fourth proportional to 223,992, 309,108.96 and 123,396.48 is: 170,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,992 : 309,108.96 = 123,396.48 : x
  2. Step 2: Convert to fraction form
    223,992/309,108.96 = 123,396.48/x
  3. Step 3: Cross multiply
    223,992x = 309,108.96 × 123,396.48
  4. Step 4: Simplify right side
    223,992x = 38,142,957,600.46
  5. Step 5: Solve for x
    x = 38,142,957,600.46/223,992
  6. Step 6: Final answer
    x = 170,287.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.