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Finding the Fourth Proportional to 139,538.49, 192,495.45 and 82,909.77

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Solution

The fourth proportional to 139,538.49, 192,495.45 and 82,909.77 is: 114,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,538.49 : 192,495.45 = 82,909.77 : x
  2. Step 2: Convert to fraction form
    139,538.49/192,495.45 = 82,909.77/x
  3. Step 3: Cross multiply
    139,538.49x = 192,495.45 × 82,909.77
  4. Step 4: Simplify right side
    139,538.49x = 15,959,753,485.55
  5. Step 5: Solve for x
    x = 15,959,753,485.55/139,538.49
  6. Step 6: Final answer
    x = 114,375.28

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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.