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Finding the Fourth Proportional to 74,098, 111,147.18 and 18,694

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Solution

The fourth proportional to 74,098, 111,147.18 and 18,694 is: 28,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,098 : 111,147.18 = 18,694 : x
  2. Step 2: Convert to fraction form
    74,098/111,147.18 = 18,694/x
  3. Step 3: Cross multiply
    74,098x = 111,147.18 × 18,694
  4. Step 4: Simplify right side
    74,098x = 2,077,785,382.92
  5. Step 5: Solve for x
    x = 2,077,785,382.92/74,098
  6. Step 6: Final answer
    x = 28,041.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.