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Finding the Fourth Proportional to 281,356.75, 422,102.25 and 91,817.47

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Solution

The fourth proportional to 281,356.75, 422,102.25 and 91,817.47 is: 137,748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,356.75 : 422,102.25 = 91,817.47 : x
  2. Step 2: Convert to fraction form
    281,356.75/422,102.25 = 91,817.47/x
  3. Step 3: Cross multiply
    281,356.75x = 422,102.25 × 91,817.47
  4. Step 4: Simplify right side
    281,356.75x = 38,756,360,676.31
  5. Step 5: Solve for x
    x = 38,756,360,676.31/281,356.75
  6. Step 6: Final answer
    x = 137,748.11

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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.