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Finding the Fourth Proportional to 74,161.92, 102,441.60 and 55,266.24

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Solution

The fourth proportional to 74,161.92, 102,441.60 and 55,266.24 is: 76,340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,161.92 : 102,441.60 = 55,266.24 : x
  2. Step 2: Convert to fraction form
    74,161.92/102,441.60 = 55,266.24/x
  3. Step 3: Cross multiply
    74,161.92x = 102,441.60 × 55,266.24
  4. Step 4: Simplify right side
    74,161.92x = 5,661,562,051.58
  5. Step 5: Solve for x
    x = 5,661,562,051.58/74,161.92
  6. Step 6: Final answer
    x = 76,340.55

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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.