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Finding the Fourth Proportional to 143,164.31, 214,730.04 and 37,991.48

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Solution

The fourth proportional to 143,164.31, 214,730.04 and 37,991.48 is: 56,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,164.31 : 214,730.04 = 37,991.48 : x
  2. Step 2: Convert to fraction form
    143,164.31/214,730.04 = 37,991.48/x
  3. Step 3: Cross multiply
    143,164.31x = 214,730.04 × 37,991.48
  4. Step 4: Simplify right side
    143,164.31x = 8,157,912,020.06
  5. Step 5: Solve for x
    x = 8,157,912,020.06/143,164.31
  6. Step 6: Final answer
    x = 56,982.86

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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.