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Finding the Fourth Proportional to 203,861.60, 305,187.60 and 151,503.20

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Solution

The fourth proportional to 203,861.60, 305,187.60 and 151,503.20 is: 226,805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,861.60 : 305,187.60 = 151,503.20 : x
  2. Step 2: Convert to fraction form
    203,861.60/305,187.60 = 151,503.20/x
  3. Step 3: Cross multiply
    203,861.60x = 305,187.60 × 151,503.20
  4. Step 4: Simplify right side
    203,861.60x = 46,236,898,000.32
  5. Step 5: Solve for x
    x = 46,236,898,000.32/203,861.60
  6. Step 6: Final answer
    x = 226,805.33

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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.