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Finding the Fourth Proportional to 135,654.80, 187,213.21 and 75,231.23

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Solution

The fourth proportional to 135,654.80, 187,213.21 and 75,231.23 is: 103,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,654.80 : 187,213.21 = 75,231.23 : x
  2. Step 2: Convert to fraction form
    135,654.80/187,213.21 = 75,231.23/x
  3. Step 3: Cross multiply
    135,654.80x = 187,213.21 × 75,231.23
  4. Step 4: Simplify right side
    135,654.80x = 14,084,278,936.40
  5. Step 5: Solve for x
    x = 14,084,278,936.40/135,654.80
  6. Step 6: Final answer
    x = 103,824.41

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1.5x scale

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.