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Finding the Fourth Proportional to 81,707.32, 112,736.22 and 47,696.43

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Solution

The fourth proportional to 81,707.32, 112,736.22 and 47,696.43 is: 65,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,707.32 : 112,736.22 = 47,696.43 : x
  2. Step 2: Convert to fraction form
    81,707.32/112,736.22 = 47,696.43/x
  3. Step 3: Cross multiply
    81,707.32x = 112,736.22 × 47,696.43
  4. Step 4: Simplify right side
    81,707.32x = 5,377,115,225.69
  5. Step 5: Solve for x
    x = 5,377,115,225.69/81,707.32
  6. Step 6: Final answer
    x = 65,809.47

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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.