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Finding the Fourth Proportional to 281,357.44, 422,103.29 and 91,818.16

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Solution

The fourth proportional to 281,357.44, 422,103.29 and 91,818.16 is: 137,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,357.44 : 422,103.29 = 91,818.16 : x
  2. Step 2: Convert to fraction form
    281,357.44/422,103.29 = 91,818.16/x
  3. Step 3: Cross multiply
    281,357.44x = 422,103.29 × 91,818.16
  4. Step 4: Simplify right side
    281,357.44x = 38,756,745,903.40
  5. Step 5: Solve for x
    x = 38,756,745,903.40/281,357.44
  6. Step 6: Final answer
    x = 137,749.14

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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.