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Finding the Fourth Proportional to 132,242, 198,363 and 33,746

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Solution

The fourth proportional to 132,242, 198,363 and 33,746 is: 50,619

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,242 : 198,363 = 33,746 : x
  2. Step 2: Convert to fraction form
    132,242/198,363 = 33,746/x
  3. Step 3: Cross multiply
    132,242x = 198,363 × 33,746
  4. Step 4: Simplify right side
    132,242x = 6,693,957,798
  5. Step 5: Solve for x
    x = 6,693,957,798/132,242
  6. Step 6: Final answer
    x = 50,619

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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.