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Finding the Fourth Proportional to 281,866.20, 422,807.40 and 71,503.80

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Solution

The fourth proportional to 281,866.20, 422,807.40 and 71,503.80 is: 107,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,866.20 : 422,807.40 = 71,503.80 : x
  2. Step 2: Convert to fraction form
    281,866.20/422,807.40 = 71,503.80/x
  3. Step 3: Cross multiply
    281,866.20x = 422,807.40 × 71,503.80
  4. Step 4: Simplify right side
    281,866.20x = 30,232,335,768.12
  5. Step 5: Solve for x
    x = 30,232,335,768.12/281,866.20
  6. Step 6: Final answer
    x = 107,257.75

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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.