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Finding the Fourth Proportional to 52,494.81, 78,738.97 and 21,329.25

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Solution

The fourth proportional to 52,494.81, 78,738.97 and 21,329.25 is: 31,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,494.81 : 78,738.97 = 21,329.25 : x
  2. Step 2: Convert to fraction form
    52,494.81/78,738.97 = 21,329.25/x
  3. Step 3: Cross multiply
    52,494.81x = 78,738.97 × 21,329.25
  4. Step 4: Simplify right side
    52,494.81x = 1,679,443,175.87
  5. Step 5: Solve for x
    x = 1,679,443,175.87/52,494.81
  6. Step 6: Final answer
    x = 31,992.56

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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.