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Finding the Fourth Proportional to 139,677.38, 192,721.16 and 82,318.98

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Solution

The fourth proportional to 139,677.38, 192,721.16 and 82,318.98 is: 113,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,677.38 : 192,721.16 = 82,318.98 : x
  2. Step 2: Convert to fraction form
    139,677.38/192,721.16 = 82,318.98/x
  3. Step 3: Cross multiply
    139,677.38x = 192,721.16 × 82,318.98
  4. Step 4: Simplify right side
    139,677.38x = 15,864,609,521.41
  5. Step 5: Solve for x
    x = 15,864,609,521.41/139,677.38
  6. Step 6: Final answer
    x = 113,580.38

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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.