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Finding the Fourth Proportional to 81,128, 111,956.64 and 45,800

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Solution

The fourth proportional to 81,128, 111,956.64 and 45,800 is: 63,204

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,128 : 111,956.64 = 45,800 : x
  2. Step 2: Convert to fraction form
    81,128/111,956.64 = 45,800/x
  3. Step 3: Cross multiply
    81,128x = 111,956.64 × 45,800
  4. Step 4: Simplify right side
    81,128x = 5,127,614,112
  5. Step 5: Solve for x
    x = 5,127,614,112/81,128
  6. Step 6: Final answer
    x = 63,204

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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.