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Finding the Fourth Proportional to 72,537.69, 100,106.54 and 41,912.10

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Solution

The fourth proportional to 72,537.69, 100,106.54 and 41,912.10 is: 57,841.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,537.69 : 100,106.54 = 41,912.10 : x
  2. Step 2: Convert to fraction form
    72,537.69/100,106.54 = 41,912.10/x
  3. Step 3: Cross multiply
    72,537.69x = 100,106.54 × 41,912.10
  4. Step 4: Simplify right side
    72,537.69x = 4,195,675,105.57
  5. Step 5: Solve for x
    x = 4,195,675,105.57/72,537.69
  6. Step 6: Final answer
    x = 57,841.31

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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.