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Finding the Fourth Proportional to 222,468.81, 307,005.09 and 120,491.91

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Solution

The fourth proportional to 222,468.81, 307,005.09 and 120,491.91 is: 166,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,468.81 : 307,005.09 = 120,491.91 : x
  2. Step 2: Convert to fraction form
    222,468.81/307,005.09 = 120,491.91/x
  3. Step 3: Cross multiply
    222,468.81x = 307,005.09 × 120,491.91
  4. Step 4: Simplify right side
    222,468.81x = 36,991,629,673.82
  5. Step 5: Solve for x
    x = 36,991,629,673.82/222,468.81
  6. Step 6: Final answer
    x = 166,277.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.