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Finding the Fourth Proportional to 139,509.40, 192,523.74 and 82,151.20

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Solution

The fourth proportional to 139,509.40, 192,523.74 and 82,151.20 is: 113,369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,509.40 : 192,523.74 = 82,151.20 : x
  2. Step 2: Convert to fraction form
    139,509.40/192,523.74 = 82,151.20/x
  3. Step 3: Cross multiply
    139,509.40x = 192,523.74 × 82,151.20
  4. Step 4: Simplify right side
    139,509.40x = 15,816,056,269.49
  5. Step 5: Solve for x
    x = 15,816,056,269.49/139,509.40
  6. Step 6: Final answer
    x = 113,369.11

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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.