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Finding the Fourth Proportional to 81,719.28, 112,795.92 and 47,736

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Solution

The fourth proportional to 81,719.28, 112,795.92 and 47,736 is: 65,889.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,719.28 : 112,795.92 = 47,736 : x
  2. Step 2: Convert to fraction form
    81,719.28/112,795.92 = 47,736/x
  3. Step 3: Cross multiply
    81,719.28x = 112,795.92 × 47,736
  4. Step 4: Simplify right side
    81,719.28x = 5,384,426,037.12
  5. Step 5: Solve for x
    x = 5,384,426,037.12/81,719.28
  6. Step 6: Final answer
    x = 65,889.30

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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.