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Finding the Fourth Proportional to 219,771.42, 303,284.73 and 119,169.42

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Solution

The fourth proportional to 219,771.42, 303,284.73 and 119,169.42 is: 164,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,771.42 : 303,284.73 = 119,169.42 : x
  2. Step 2: Convert to fraction form
    219,771.42/303,284.73 = 119,169.42/x
  3. Step 3: Cross multiply
    219,771.42x = 303,284.73 × 119,169.42
  4. Step 4: Simplify right side
    219,771.42x = 36,142,265,368.96
  5. Step 5: Solve for x
    x = 36,142,265,368.96/219,771.42
  6. Step 6: Final answer
    x = 164,453.89

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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.