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Finding the Fourth Proportional to 135,617.96, 187,086.30 and 117,687.80

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Solution

The fourth proportional to 135,617.96, 187,086.30 and 117,687.80 is: 162,351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,617.96 : 187,086.30 = 117,687.80 : x
  2. Step 2: Convert to fraction form
    135,617.96/187,086.30 = 117,687.80/x
  3. Step 3: Cross multiply
    135,617.96x = 187,086.30 × 117,687.80
  4. Step 4: Simplify right side
    135,617.96x = 22,017,775,057.14
  5. Step 5: Solve for x
    x = 22,017,775,057.14/135,617.96
  6. Step 6: Final answer
    x = 162,351.47

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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.