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Finding the Fourth Proportional to 81,478.42, 112,439.86 and 45,668.43

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Solution

The fourth proportional to 81,478.42, 112,439.86 and 45,668.43 is: 63,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,478.42 : 112,439.86 = 45,668.43 : x
  2. Step 2: Convert to fraction form
    81,478.42/112,439.86 = 45,668.43/x
  3. Step 3: Cross multiply
    81,478.42x = 112,439.86 × 45,668.43
  4. Step 4: Simplify right side
    81,478.42x = 5,134,951,761.45
  5. Step 5: Solve for x
    x = 5,134,951,761.45/81,478.42
  6. Step 6: Final answer
    x = 63,022.23

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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.