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Finding the Fourth Proportional to 281,475.40, 422,240.80 and 81,797.54

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Solution

The fourth proportional to 281,475.40, 422,240.80 and 81,797.54 is: 122,704.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,475.40 : 422,240.80 = 81,797.54 : x
  2. Step 2: Convert to fraction form
    281,475.40/422,240.80 = 81,797.54/x
  3. Step 3: Cross multiply
    281,475.40x = 422,240.80 × 81,797.54
  4. Step 4: Simplify right side
    281,475.40x = 34,538,258,727.63
  5. Step 5: Solve for x
    x = 34,538,258,727.63/281,475.40
  6. Step 6: Final answer
    x = 122,704.36

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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.