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Finding the Fourth Proportional to 198,900.28, 274,482.42 and 109,476.28

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Solution

The fourth proportional to 198,900.28, 274,482.42 and 109,476.28 is: 151,077.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,900.28 : 274,482.42 = 109,476.28 : x
  2. Step 2: Convert to fraction form
    198,900.28/274,482.42 = 109,476.28/x
  3. Step 3: Cross multiply
    198,900.28x = 274,482.42 × 109,476.28
  4. Step 4: Simplify right side
    198,900.28x = 30,049,314,267.00
  5. Step 5: Solve for x
    x = 30,049,314,267.00/198,900.28
  6. Step 6: Final answer
    x = 151,077.28

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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.