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Finding the Fourth Proportional to 109,523.70, 164,285.55 and 74,531.70

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Solution

The fourth proportional to 109,523.70, 164,285.55 and 74,531.70 is: 111,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,523.70 : 164,285.55 = 74,531.70 : x
  2. Step 2: Convert to fraction form
    109,523.70/164,285.55 = 74,531.70/x
  3. Step 3: Cross multiply
    109,523.70x = 164,285.55 × 74,531.70
  4. Step 4: Simplify right side
    109,523.70x = 12,244,481,326.94
  5. Step 5: Solve for x
    x = 12,244,481,326.94/109,523.70
  6. Step 6: Final answer
    x = 111,797.55

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1.5x scale

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.