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Finding the Fourth Proportional to 74,715, 103,106.03 and 40,723.49

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Solution

The fourth proportional to 74,715, 103,106.03 and 40,723.49 is: 56,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,715 : 103,106.03 = 40,723.49 : x
  2. Step 2: Convert to fraction form
    74,715/103,106.03 = 40,723.49/x
  3. Step 3: Cross multiply
    74,715x = 103,106.03 × 40,723.49
  4. Step 4: Simplify right side
    74,715x = 4,198,836,967.92
  5. Step 5: Solve for x
    x = 4,198,836,967.92/74,715
  6. Step 6: Final answer
    x = 56,198.05

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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.