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Finding the Fourth Proportional to 198,855, 274,419.95 and 109,431

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Solution

The fourth proportional to 198,855, 274,419.95 and 109,431 is: 151,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,855 : 274,419.95 = 109,431 : x
  2. Step 2: Convert to fraction form
    198,855/274,419.95 = 109,431/x
  3. Step 3: Cross multiply
    198,855x = 274,419.95 × 109,431
  4. Step 4: Simplify right side
    198,855x = 30,030,049,001.30
  5. Step 5: Solve for x
    x = 30,030,049,001.30/198,855
  6. Step 6: Final answer
    x = 151,014.80

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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.