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Finding the Fourth Proportional to 84,728, 127,092 and 22,398.50

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Solution

The fourth proportional to 84,728, 127,092 and 22,398.50 is: 33,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,728 : 127,092 = 22,398.50 : x
  2. Step 2: Convert to fraction form
    84,728/127,092 = 22,398.50/x
  3. Step 3: Cross multiply
    84,728x = 127,092 × 22,398.50
  4. Step 4: Simplify right side
    84,728x = 2,846,670,162
  5. Step 5: Solve for x
    x = 2,846,670,162/84,728
  6. Step 6: Final answer
    x = 33,597.75

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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.