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Finding the Fourth Proportional to 135,493.66, 186,680.16 and 89,471.58

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Solution

The fourth proportional to 135,493.66, 186,680.16 and 89,471.58 is: 123,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,493.66 : 186,680.16 = 89,471.58 : x
  2. Step 2: Convert to fraction form
    135,493.66/186,680.16 = 89,471.58/x
  3. Step 3: Cross multiply
    135,493.66x = 186,680.16 × 89,471.58
  4. Step 4: Simplify right side
    135,493.66x = 16,702,568,869.85
  5. Step 5: Solve for x
    x = 16,702,568,869.85/135,493.66
  6. Step 6: Final answer
    x = 123,271.96

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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.