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Finding the Fourth Proportional to 90,657.29, 135,939.01 and 40,694.37

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Solution

The fourth proportional to 90,657.29, 135,939.01 and 40,694.37 is: 61,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,657.29 : 135,939.01 = 40,694.37 : x
  2. Step 2: Convert to fraction form
    90,657.29/135,939.01 = 40,694.37/x
  3. Step 3: Cross multiply
    90,657.29x = 135,939.01 × 40,694.37
  4. Step 4: Simplify right side
    90,657.29x = 5,531,951,835.17
  5. Step 5: Solve for x
    x = 5,531,951,835.17/90,657.29
  6. Step 6: Final answer
    x = 61,020.48

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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.