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Finding the Fourth Proportional to 230,906.10, 318,647.30 and 128,933.24

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Solution

The fourth proportional to 230,906.10, 318,647.30 and 128,933.24 is: 177,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,906.10 : 318,647.30 = 128,933.24 : x
  2. Step 2: Convert to fraction form
    230,906.10/318,647.30 = 128,933.24/x
  3. Step 3: Cross multiply
    230,906.10x = 318,647.30 × 128,933.24
  4. Step 4: Simplify right side
    230,906.10x = 41,084,228,806.25
  5. Step 5: Solve for x
    x = 41,084,228,806.25/230,906.10
  6. Step 6: Final answer
    x = 177,926.13

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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.