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Finding the Fourth Proportional to 120,884.84, 166,769.33 and 75,484

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Solution

The fourth proportional to 120,884.84, 166,769.33 and 75,484 is: 104,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,884.84 : 166,769.33 = 75,484 : x
  2. Step 2: Convert to fraction form
    120,884.84/166,769.33 = 75,484/x
  3. Step 3: Cross multiply
    120,884.84x = 166,769.33 × 75,484
  4. Step 4: Simplify right side
    120,884.84x = 12,588,416,105.72
  5. Step 5: Solve for x
    x = 12,588,416,105.72/120,884.84
  6. Step 6: Final answer
    x = 104,135.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.