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Finding the Fourth Proportional to 281,718.72, 422,578.80 and 71,357.04

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Solution

The fourth proportional to 281,718.72, 422,578.80 and 71,357.04 is: 107,035.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,718.72 : 422,578.80 = 71,357.04 : x
  2. Step 2: Convert to fraction form
    281,718.72/422,578.80 = 71,357.04/x
  3. Step 3: Cross multiply
    281,718.72x = 422,578.80 × 71,357.04
  4. Step 4: Simplify right side
    281,718.72x = 30,153,972,334.75
  5. Step 5: Solve for x
    x = 30,153,972,334.75/281,718.72
  6. Step 6: Final answer
    x = 107,035.74

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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.