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Finding the Fourth Proportional to 281,368.72, 422,057.58 and 91,828.36

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Solution

The fourth proportional to 281,368.72, 422,057.58 and 91,828.36 is: 137,744.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,368.72 : 422,057.58 = 91,828.36 : x
  2. Step 2: Convert to fraction form
    281,368.72/422,057.58 = 91,828.36/x
  3. Step 3: Cross multiply
    281,368.72x = 422,057.58 × 91,828.36
  4. Step 4: Simplify right side
    281,368.72x = 38,756,855,396.97
  5. Step 5: Solve for x
    x = 38,756,855,396.97/281,368.72
  6. Step 6: Final answer
    x = 137,744.01

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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.