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Finding the Fourth Proportional to 204,476.80, 306,738.72 and 99,219.52

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Solution

The fourth proportional to 204,476.80, 306,738.72 and 99,219.52 is: 148,840.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,476.80 : 306,738.72 = 99,219.52 : x
  2. Step 2: Convert to fraction form
    204,476.80/306,738.72 = 99,219.52/x
  3. Step 3: Cross multiply
    204,476.80x = 306,738.72 × 99,219.52
  4. Step 4: Simplify right side
    204,476.80x = 30,434,468,563.81
  5. Step 5: Solve for x
    x = 30,434,468,563.81/204,476.80
  6. Step 6: Final answer
    x = 148,840.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.