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Finding the Fourth Proportional to 74,091.76, 102,245.80 and 40,099.48

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Solution

The fourth proportional to 74,091.76, 102,245.80 and 40,099.48 is: 55,336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,091.76 : 102,245.80 = 40,099.48 : x
  2. Step 2: Convert to fraction form
    74,091.76/102,245.80 = 40,099.48/x
  3. Step 3: Cross multiply
    74,091.76x = 102,245.80 × 40,099.48
  4. Step 4: Simplify right side
    74,091.76x = 4,100,003,412.18
  5. Step 5: Solve for x
    x = 4,100,003,412.18/74,091.76
  6. Step 6: Final answer
    x = 55,336.83

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1.5x scale

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.