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Finding the Fourth Proportional to 73,120.92, 100,896 and 41,289.18

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Solution

The fourth proportional to 73,120.92, 100,896 and 41,289.18 is: 56,972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,120.92 : 100,896 = 41,289.18 : x
  2. Step 2: Convert to fraction form
    73,120.92/100,896 = 41,289.18/x
  3. Step 3: Cross multiply
    73,120.92x = 100,896 × 41,289.18
  4. Step 4: Simplify right side
    73,120.92x = 4,165,913,105.28
  5. Step 5: Solve for x
    x = 4,165,913,105.28/73,120.92
  6. Step 6: Final answer
    x = 56,972.93

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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.