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Finding the Fourth Proportional to 139,757.32, 192,869.22 and 76,097.80

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Solution

The fourth proportional to 139,757.32, 192,869.22 and 76,097.80 is: 105,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,757.32 : 192,869.22 = 76,097.80 : x
  2. Step 2: Convert to fraction form
    139,757.32/192,869.22 = 76,097.80/x
  3. Step 3: Cross multiply
    139,757.32x = 192,869.22 × 76,097.80
  4. Step 4: Simplify right side
    139,757.32x = 14,676,923,329.72
  5. Step 5: Solve for x
    x = 14,676,923,329.72/139,757.32
  6. Step 6: Final answer
    x = 105,017.21

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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.