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Finding the Fourth Proportional to 135,437.91, 186,965.31 and 87,110.07

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Solution

The fourth proportional to 135,437.91, 186,965.31 and 87,110.07 is: 120,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,437.91 : 186,965.31 = 87,110.07 : x
  2. Step 2: Convert to fraction form
    135,437.91/186,965.31 = 87,110.07/x
  3. Step 3: Cross multiply
    135,437.91x = 186,965.31 × 87,110.07
  4. Step 4: Simplify right side
    135,437.91x = 16,286,561,241.67
  5. Step 5: Solve for x
    x = 16,286,561,241.67/135,437.91
  6. Step 6: Final answer
    x = 120,251.13

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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.