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Finding the Fourth Proportional to 54,878.42, 82,317.81 and 13,325.42

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Solution

The fourth proportional to 54,878.42, 82,317.81 and 13,325.42 is: 19,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,878.42 : 82,317.81 = 13,325.42 : x
  2. Step 2: Convert to fraction form
    54,878.42/82,317.81 = 13,325.42/x
  3. Step 3: Cross multiply
    54,878.42x = 82,317.81 × 13,325.42
  4. Step 4: Simplify right side
    54,878.42x = 1,096,919,391.73
  5. Step 5: Solve for x
    x = 1,096,919,391.73/54,878.42
  6. Step 6: Final answer
    x = 19,988.17

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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.