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Finding the Fourth Proportional to 100,944.62, 151,187.35 and 78,273.60

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Solution

The fourth proportional to 100,944.62, 151,187.35 and 78,273.60 is: 117,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,944.62 : 151,187.35 = 78,273.60 : x
  2. Step 2: Convert to fraction form
    100,944.62/151,187.35 = 78,273.60/x
  3. Step 3: Cross multiply
    100,944.62x = 151,187.35 × 78,273.60
  4. Step 4: Simplify right side
    100,944.62x = 11,833,978,158.96
  5. Step 5: Solve for x
    x = 11,833,978,158.96/100,944.62
  6. Step 6: Final answer
    x = 117,232.38

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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.