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Finding the Fourth Proportional to 198,776, 274,310.88 and 109,352

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Solution

The fourth proportional to 198,776, 274,310.88 and 109,352 is: 150,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,776 : 274,310.88 = 109,352 : x
  2. Step 2: Convert to fraction form
    198,776/274,310.88 = 109,352/x
  3. Step 3: Cross multiply
    198,776x = 274,310.88 × 109,352
  4. Step 4: Simplify right side
    198,776x = 29,996,443,349.76
  5. Step 5: Solve for x
    x = 29,996,443,349.76/198,776
  6. Step 6: Final answer
    x = 150,905.76

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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.