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Finding the Fourth Proportional to 81,098, 111,914 and 45,288.54

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Solution

The fourth proportional to 81,098, 111,914 and 45,288.54 is: 62,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,098 : 111,914 = 45,288.54 : x
  2. Step 2: Convert to fraction form
    81,098/111,914 = 45,288.54/x
  3. Step 3: Cross multiply
    81,098x = 111,914 × 45,288.54
  4. Step 4: Simplify right side
    81,098x = 5,068,421,665.56
  5. Step 5: Solve for x
    x = 5,068,421,665.56/81,098
  6. Step 6: Final answer
    x = 62,497.49

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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.