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Finding the Fourth Proportional to 81,703.57, 112,733.43 and 47,696.62

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Solution

The fourth proportional to 81,703.57, 112,733.43 and 47,696.62 is: 65,811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,703.57 : 112,733.43 = 47,696.62 : x
  2. Step 2: Convert to fraction form
    81,703.57/112,733.43 = 47,696.62/x
  3. Step 3: Cross multiply
    81,703.57x = 112,733.43 × 47,696.62
  4. Step 4: Simplify right side
    81,703.57x = 5,377,003,572.01
  5. Step 5: Solve for x
    x = 5,377,003,572.01/81,703.57
  6. Step 6: Final answer
    x = 65,811.12

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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.