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Finding the Fourth Proportional to 198,663, 274,154.94 and 109,239

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Solution

The fourth proportional to 198,663, 274,154.94 and 109,239 is: 150,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,663 : 274,154.94 = 109,239 : x
  2. Step 2: Convert to fraction form
    198,663/274,154.94 = 109,239/x
  3. Step 3: Cross multiply
    198,663x = 274,154.94 × 109,239
  4. Step 4: Simplify right side
    198,663x = 29,948,411,490.66
  5. Step 5: Solve for x
    x = 29,948,411,490.66/198,663
  6. Step 6: Final answer
    x = 150,749.82

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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.