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Finding the Fourth Proportional to 81,721.28, 112,798.68 and 47,738

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Solution

The fourth proportional to 81,721.28, 112,798.68 and 47,738 is: 65,892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,721.28 : 112,798.68 = 47,738 : x
  2. Step 2: Convert to fraction form
    81,721.28/112,798.68 = 47,738/x
  3. Step 3: Cross multiply
    81,721.28x = 112,798.68 × 47,738
  4. Step 4: Simplify right side
    81,721.28x = 5,384,783,385.84
  5. Step 5: Solve for x
    x = 5,384,783,385.84/81,721.28
  6. Step 6: Final answer
    x = 65,892.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.