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Finding the Fourth Proportional to 203,894.80, 305,842.20 and 151,406.80

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Solution

The fourth proportional to 203,894.80, 305,842.20 and 151,406.80 is: 227,110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,894.80 : 305,842.20 = 151,406.80 : x
  2. Step 2: Convert to fraction form
    203,894.80/305,842.20 = 151,406.80/x
  3. Step 3: Cross multiply
    203,894.80x = 305,842.20 × 151,406.80
  4. Step 4: Simplify right side
    203,894.80x = 46,306,588,806.96
  5. Step 5: Solve for x
    x = 46,306,588,806.96/203,894.80
  6. Step 6: Final answer
    x = 227,110.20

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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.