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Finding the Fourth Proportional to 109,626.40, 164,180.40 and 74,375.20

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Solution

The fourth proportional to 109,626.40, 164,180.40 and 74,375.20 is: 111,386.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,626.40 : 164,180.40 = 74,375.20 : x
  2. Step 2: Convert to fraction form
    109,626.40/164,180.40 = 74,375.20/x
  3. Step 3: Cross multiply
    109,626.40x = 164,180.40 × 74,375.20
  4. Step 4: Simplify right side
    109,626.40x = 12,210,950,086.08
  5. Step 5: Solve for x
    x = 12,210,950,086.08/109,626.40
  6. Step 6: Final answer
    x = 111,386.95

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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.