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Finding the Fourth Proportional to 203,427.48, 305,099.52 and 77,024.12

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Solution

The fourth proportional to 203,427.48, 305,099.52 and 77,024.12 is: 115,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,427.48 : 305,099.52 = 77,024.12 : x
  2. Step 2: Convert to fraction form
    203,427.48/305,099.52 = 77,024.12/x
  3. Step 3: Cross multiply
    203,427.48x = 305,099.52 × 77,024.12
  4. Step 4: Simplify right side
    203,427.48x = 23,500,020,514.92
  5. Step 5: Solve for x
    x = 23,500,020,514.92/203,427.48
  6. Step 6: Final answer
    x = 115,520.38

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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.