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Finding the Fourth Proportional to 135,355, 186,874.64 and 86,976.52

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Solution

The fourth proportional to 135,355, 186,874.64 and 86,976.52 is: 120,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,355 : 186,874.64 = 86,976.52 : x
  2. Step 2: Convert to fraction form
    135,355/186,874.64 = 86,976.52/x
  3. Step 3: Cross multiply
    135,355x = 186,874.64 × 86,976.52
  4. Step 4: Simplify right side
    135,355x = 16,253,705,863.45
  5. Step 5: Solve for x
    x = 16,253,705,863.45/135,355
  6. Step 6: Final answer
    x = 120,082.05

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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.