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Finding the Fourth Proportional to 198,880.50, 274,459.41 and 109,456.50

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Solution

The fourth proportional to 198,880.50, 274,459.41 and 109,456.50 is: 151,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,880.50 : 274,459.41 = 109,456.50 : x
  2. Step 2: Convert to fraction form
    198,880.50/274,459.41 = 109,456.50/x
  3. Step 3: Cross multiply
    198,880.50x = 274,459.41 × 109,456.50
  4. Step 4: Simplify right side
    198,880.50x = 30,041,366,410.67
  5. Step 5: Solve for x
    x = 30,041,366,410.67/198,880.50
  6. Step 6: Final answer
    x = 151,052.35

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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.