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Finding the Fourth Proportional to 144,850.78, 217,282.65 and 39,667.42

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Solution

The fourth proportional to 144,850.78, 217,282.65 and 39,667.42 is: 59,502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,850.78 : 217,282.65 = 39,667.42 : x
  2. Step 2: Convert to fraction form
    144,850.78/217,282.65 = 39,667.42/x
  3. Step 3: Cross multiply
    144,850.78x = 217,282.65 × 39,667.42
  4. Step 4: Simplify right side
    144,850.78x = 8,619,042,136.26
  5. Step 5: Solve for x
    x = 8,619,042,136.26/144,850.78
  6. Step 6: Final answer
    x = 59,502.90

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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.