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Finding the Fourth Proportional to 231,072, 346,608 and 83,328

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Solution

The fourth proportional to 231,072, 346,608 and 83,328 is: 124,992

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,072 : 346,608 = 83,328 : x
  2. Step 2: Convert to fraction form
    231,072/346,608 = 83,328/x
  3. Step 3: Cross multiply
    231,072x = 346,608 × 83,328
  4. Step 4: Simplify right side
    231,072x = 28,882,151,424
  5. Step 5: Solve for x
    x = 28,882,151,424/231,072
  6. Step 6: Final answer
    x = 124,992

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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.