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Finding the Fourth Proportional to 150,794.88, 208,071.96 and 87,138.60

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Solution

The fourth proportional to 150,794.88, 208,071.96 and 87,138.60 is: 120,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,794.88 : 208,071.96 = 87,138.60 : x
  2. Step 2: Convert to fraction form
    150,794.88/208,071.96 = 87,138.60/x
  3. Step 3: Cross multiply
    150,794.88x = 208,071.96 × 87,138.60
  4. Step 4: Simplify right side
    150,794.88x = 18,131,099,293.66
  5. Step 5: Solve for x
    x = 18,131,099,293.66/150,794.88
  6. Step 6: Final answer
    x = 120,236.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.