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Finding the Fourth Proportional to 135,356, 186,876 and 86,977.52

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Solution

The fourth proportional to 135,356, 186,876 and 86,977.52 is: 120,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,356 : 186,876 = 86,977.52 : x
  2. Step 2: Convert to fraction form
    135,356/186,876 = 86,977.52/x
  3. Step 3: Cross multiply
    135,356x = 186,876 × 86,977.52
  4. Step 4: Simplify right side
    135,356x = 16,254,011,027.52
  5. Step 5: Solve for x
    x = 16,254,011,027.52/135,356
  6. Step 6: Final answer
    x = 120,083.42

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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.