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Finding the Fourth Proportional to 132,748, 199,122 and 45,196

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Solution

The fourth proportional to 132,748, 199,122 and 45,196 is: 67,794

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,748 : 199,122 = 45,196 : x
  2. Step 2: Convert to fraction form
    132,748/199,122 = 45,196/x
  3. Step 3: Cross multiply
    132,748x = 199,122 × 45,196
  4. Step 4: Simplify right side
    132,748x = 8,999,517,912
  5. Step 5: Solve for x
    x = 8,999,517,912/132,748
  6. Step 6: Final answer
    x = 67,794

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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.