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Finding the Fourth Proportional to 143,167.80, 214,751.70 and 137,724.60

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Solution

The fourth proportional to 143,167.80, 214,751.70 and 137,724.60 is: 206,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,167.80 : 214,751.70 = 137,724.60 : x
  2. Step 2: Convert to fraction form
    143,167.80/214,751.70 = 137,724.60/x
  3. Step 3: Cross multiply
    143,167.80x = 214,751.70 × 137,724.60
  4. Step 4: Simplify right side
    143,167.80x = 29,576,591,981.82
  5. Step 5: Solve for x
    x = 29,576,591,981.82/143,167.80
  6. Step 6: Final answer
    x = 206,586.90

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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.