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Finding the Fourth Proportional to 203,895.80, 305,843.70 and 151,407.80

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Solution

The fourth proportional to 203,895.80, 305,843.70 and 151,407.80 is: 227,111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,895.80 : 305,843.70 = 151,407.80 : x
  2. Step 2: Convert to fraction form
    203,895.80/305,843.70 = 151,407.80/x
  3. Step 3: Cross multiply
    203,895.80x = 305,843.70 × 151,407.80
  4. Step 4: Simplify right side
    203,895.80x = 46,307,121,760.86
  5. Step 5: Solve for x
    x = 46,307,121,760.86/203,895.80
  6. Step 6: Final answer
    x = 227,111.70

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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.