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Finding the Fourth Proportional to 109,371.20, 164,056.80 and 74,379.20

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Solution

The fourth proportional to 109,371.20, 164,056.80 and 74,379.20 is: 111,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,371.20 : 164,056.80 = 74,379.20 : x
  2. Step 2: Convert to fraction form
    109,371.20/164,056.80 = 74,379.20/x
  3. Step 3: Cross multiply
    109,371.20x = 164,056.80 × 74,379.20
  4. Step 4: Simplify right side
    109,371.20x = 12,202,413,538.56
  5. Step 5: Solve for x
    x = 12,202,413,538.56/109,371.20
  6. Step 6: Final answer
    x = 111,568.80

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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.