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Finding the Fourth Proportional to 109,761.80, 164,724.54 and 74,138.84

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Solution

The fourth proportional to 109,761.80, 164,724.54 and 74,138.84 is: 111,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,761.80 : 164,724.54 = 74,138.84 : x
  2. Step 2: Convert to fraction form
    109,761.80/164,724.54 = 74,138.84/x
  3. Step 3: Cross multiply
    109,761.80x = 164,724.54 × 74,138.84
  4. Step 4: Simplify right side
    109,761.80x = 12,212,486,315.13
  5. Step 5: Solve for x
    x = 12,212,486,315.13/109,761.80
  6. Step 6: Final answer
    x = 111,263.54

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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.