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Finding the Fourth Proportional to 132,992, 199,488 and 67,328

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Solution

The fourth proportional to 132,992, 199,488 and 67,328 is: 100,992

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,992 : 199,488 = 67,328 : x
  2. Step 2: Convert to fraction form
    132,992/199,488 = 67,328/x
  3. Step 3: Cross multiply
    132,992x = 199,488 × 67,328
  4. Step 4: Simplify right side
    132,992x = 13,431,128,064
  5. Step 5: Solve for x
    x = 13,431,128,064/132,992
  6. Step 6: Final answer
    x = 100,992

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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.