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Finding the Fourth Proportional to 203,814.63, 305,652.78 and 77,424.39

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Solution

The fourth proportional to 203,814.63, 305,652.78 and 77,424.39 is: 116,110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,814.63 : 305,652.78 = 77,424.39 : x
  2. Step 2: Convert to fraction form
    203,814.63/305,652.78 = 77,424.39/x
  3. Step 3: Cross multiply
    203,814.63x = 305,652.78 × 77,424.39
  4. Step 4: Simplify right side
    203,814.63x = 23,664,980,043.30
  5. Step 5: Solve for x
    x = 23,664,980,043.30/203,814.63
  6. Step 6: Final answer
    x = 116,110.31

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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.