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Finding the Fourth Proportional to 81,743.92, 112,807.20 and 45,934

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Solution

The fourth proportional to 81,743.92, 112,807.20 and 45,934 is: 63,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,743.92 : 112,807.20 = 45,934 : x
  2. Step 2: Convert to fraction form
    81,743.92/112,807.20 = 45,934/x
  3. Step 3: Cross multiply
    81,743.92x = 112,807.20 × 45,934
  4. Step 4: Simplify right side
    81,743.92x = 5,181,685,924.80
  5. Step 5: Solve for x
    x = 5,181,685,924.80/81,743.92
  6. Step 6: Final answer
    x = 63,389.25

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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.