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Finding the Fourth Proportional to 106,481.86, 146,869.05 and 74,657.86

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Solution

The fourth proportional to 106,481.86, 146,869.05 and 74,657.86 is: 102,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,481.86 : 146,869.05 = 74,657.86 : x
  2. Step 2: Convert to fraction form
    106,481.86/146,869.05 = 74,657.86/x
  3. Step 3: Cross multiply
    106,481.86x = 146,869.05 × 74,657.86
  4. Step 4: Simplify right side
    106,481.86x = 10,964,928,973.23
  5. Step 5: Solve for x
    x = 10,964,928,973.23/106,481.86
  6. Step 6: Final answer
    x = 102,974.62

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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.