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Finding the Fourth Proportional to 198,858.84, 274,425.12 and 109,434.84

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Solution

The fourth proportional to 198,858.84, 274,425.12 and 109,434.84 is: 151,020.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,858.84 : 274,425.12 = 109,434.84 : x
  2. Step 2: Convert to fraction form
    198,858.84/274,425.12 = 109,434.84/x
  3. Step 3: Cross multiply
    198,858.84x = 274,425.12 × 109,434.84
  4. Step 4: Simplify right side
    198,858.84x = 30,031,669,099.18
  5. Step 5: Solve for x
    x = 30,031,669,099.18/198,858.84
  6. Step 6: Final answer
    x = 151,020.04

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1.5x scale

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.