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Finding the Fourth Proportional to 135,422.84, 186,821.51 and 87,691.56

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Solution

The fourth proportional to 135,422.84, 186,821.51 and 87,691.56 is: 120,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,422.84 : 186,821.51 = 87,691.56 : x
  2. Step 2: Convert to fraction form
    135,422.84/186,821.51 = 87,691.56/x
  3. Step 3: Cross multiply
    135,422.84x = 186,821.51 × 87,691.56
  4. Step 4: Simplify right side
    135,422.84x = 16,382,670,305.19
  5. Step 5: Solve for x
    x = 16,382,670,305.19/135,422.84
  6. Step 6: Final answer
    x = 120,974.21

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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.