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Finding the Fourth Proportional to 84,825.76, 127,219.20 and 38,092

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Solution

The fourth proportional to 84,825.76, 127,219.20 and 38,092 is: 57,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,825.76 : 127,219.20 = 38,092 : x
  2. Step 2: Convert to fraction form
    84,825.76/127,219.20 = 38,092/x
  3. Step 3: Cross multiply
    84,825.76x = 127,219.20 × 38,092
  4. Step 4: Simplify right side
    84,825.76x = 4,846,033,766.40
  5. Step 5: Solve for x
    x = 4,846,033,766.40/84,825.76
  6. Step 6: Final answer
    x = 57,129.27

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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.