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Finding the Fourth Proportional to 81,761.69, 112,806.92 and 47,761.13

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Solution

The fourth proportional to 81,761.69, 112,806.92 and 47,761.13 is: 65,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,761.69 : 112,806.92 = 47,761.13 : x
  2. Step 2: Convert to fraction form
    81,761.69/112,806.92 = 47,761.13/x
  3. Step 3: Cross multiply
    81,761.69x = 112,806.92 × 47,761.13
  4. Step 4: Simplify right side
    81,761.69x = 5,387,785,168.18
  5. Step 5: Solve for x
    x = 5,387,785,168.18/81,761.69
  6. Step 6: Final answer
    x = 65,896.21

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1.5x scale

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.