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Finding the Fourth Proportional to 121,424, 182,166.72 and 33,872

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Solution

The fourth proportional to 121,424, 182,166.72 and 33,872 is: 50,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,424 : 182,166.72 = 33,872 : x
  2. Step 2: Convert to fraction form
    121,424/182,166.72 = 33,872/x
  3. Step 3: Cross multiply
    121,424x = 182,166.72 × 33,872
  4. Step 4: Simplify right side
    121,424x = 6,170,351,139.84
  5. Step 5: Solve for x
    x = 6,170,351,139.84/121,424
  6. Step 6: Final answer
    x = 50,816.57

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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.