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Finding the Fourth Proportional to 135,468.50, 202,378.84 and 87,694.39

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Solution

The fourth proportional to 135,468.50, 202,378.84 and 87,694.39 is: 131,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,468.50 : 202,378.84 = 87,694.39 : x
  2. Step 2: Convert to fraction form
    135,468.50/202,378.84 = 87,694.39/x
  3. Step 3: Cross multiply
    135,468.50x = 202,378.84 × 87,694.39
  4. Step 4: Simplify right side
    135,468.50x = 17,747,488,922.71
  5. Step 5: Solve for x
    x = 17,747,488,922.71/135,468.50
  6. Step 6: Final answer
    x = 131,008.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.