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Finding the Fourth Proportional to 54,085.76, 81,137.28 and 22,921.28

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Solution

The fourth proportional to 54,085.76, 81,137.28 and 22,921.28 is: 34,385.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,085.76 : 81,137.28 = 22,921.28 : x
  2. Step 2: Convert to fraction form
    54,085.76/81,137.28 = 22,921.28/x
  3. Step 3: Cross multiply
    54,085.76x = 81,137.28 × 22,921.28
  4. Step 4: Simplify right side
    54,085.76x = 1,859,770,313.32
  5. Step 5: Solve for x
    x = 1,859,770,313.32/54,085.76
  6. Step 6: Final answer
    x = 34,385.58

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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.