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Finding the Fourth Proportional to 135,903.14, 187,516.14 and 82,187.04

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Solution

The fourth proportional to 135,903.14, 187,516.14 and 82,187.04 is: 113,399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,903.14 : 187,516.14 = 82,187.04 : x
  2. Step 2: Convert to fraction form
    135,903.14/187,516.14 = 82,187.04/x
  3. Step 3: Cross multiply
    135,903.14x = 187,516.14 × 82,187.04
  4. Step 4: Simplify right side
    135,903.14x = 15,411,396,498.83
  5. Step 5: Solve for x
    x = 15,411,396,498.83/135,903.14
  6. Step 6: Final answer
    x = 113,399.86

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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.