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Finding the Fourth Proportional to 151,905.80, 227,858.70 and 143,157.80

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Solution

The fourth proportional to 151,905.80, 227,858.70 and 143,157.80 is: 214,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,905.80 : 227,858.70 = 143,157.80 : x
  2. Step 2: Convert to fraction form
    151,905.80/227,858.70 = 143,157.80/x
  3. Step 3: Cross multiply
    151,905.80x = 227,858.70 × 143,157.80
  4. Step 4: Simplify right side
    151,905.80x = 32,619,750,202.86
  5. Step 5: Solve for x
    x = 32,619,750,202.86/151,905.80
  6. Step 6: Final answer
    x = 214,736.70

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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.