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Finding the Fourth Proportional to 217,027.80, 325,493.10 and 142,669.80

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Solution

The fourth proportional to 217,027.80, 325,493.10 and 142,669.80 is: 213,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,027.80 : 325,493.10 = 142,669.80 : x
  2. Step 2: Convert to fraction form
    217,027.80/325,493.10 = 142,669.80/x
  3. Step 3: Cross multiply
    217,027.80x = 325,493.10 × 142,669.80
  4. Step 4: Simplify right side
    217,027.80x = 46,438,035,478.38
  5. Step 5: Solve for x
    x = 46,438,035,478.38/217,027.80
  6. Step 6: Final answer
    x = 213,972.75

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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.