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Finding the Fourth Proportional to 281,656.87, 422,485.61 and 71,294.81

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Solution

The fourth proportional to 281,656.87, 422,485.61 and 71,294.81 is: 106,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,656.87 : 422,485.61 = 71,294.81 : x
  2. Step 2: Convert to fraction form
    281,656.87/422,485.61 = 71,294.81/x
  3. Step 3: Cross multiply
    281,656.87x = 422,485.61 × 71,294.81
  4. Step 4: Simplify right side
    281,656.87x = 30,121,028,823.78
  5. Step 5: Solve for x
    x = 30,121,028,823.78/281,656.87
  6. Step 6: Final answer
    x = 106,942.28

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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.