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Finding the Fourth Proportional to 281,309.25, 422,017.19 and 91,753.76

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Solution

The fourth proportional to 281,309.25, 422,017.19 and 91,753.76 is: 137,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,309.25 : 422,017.19 = 91,753.76 : x
  2. Step 2: Convert to fraction form
    281,309.25/422,017.19 = 91,753.76/x
  3. Step 3: Cross multiply
    281,309.25x = 422,017.19 × 91,753.76
  4. Step 4: Simplify right side
    281,309.25x = 38,721,664,907.49
  5. Step 5: Solve for x
    x = 38,721,664,907.49/281,309.25
  6. Step 6: Final answer
    x = 137,648.03

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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.