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Finding the Fourth Proportional to 135,782, 187,379.16 and 82,790

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Solution

The fourth proportional to 135,782, 187,379.16 and 82,790 is: 114,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,782 : 187,379.16 = 82,790 : x
  2. Step 2: Convert to fraction form
    135,782/187,379.16 = 82,790/x
  3. Step 3: Cross multiply
    135,782x = 187,379.16 × 82,790
  4. Step 4: Simplify right side
    135,782x = 15,513,120,656.40
  5. Step 5: Solve for x
    x = 15,513,120,656.40/135,782
  6. Step 6: Final answer
    x = 114,250.20

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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.