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Finding the Fourth Proportional to 105,725.70, 158,615.55 and 74,621.70

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Solution

The fourth proportional to 105,725.70, 158,615.55 and 74,621.70 is: 111,951.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,725.70 : 158,615.55 = 74,621.70 : x
  2. Step 2: Convert to fraction form
    105,725.70/158,615.55 = 74,621.70/x
  3. Step 3: Cross multiply
    105,725.70x = 158,615.55 × 74,621.70
  4. Step 4: Simplify right side
    105,725.70x = 11,836,161,987.44
  5. Step 5: Solve for x
    x = 11,836,161,987.44/105,725.70
  6. Step 6: Final answer
    x = 111,951.61

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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.