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Finding the Fourth Proportional to 139,322.18, 192,253.95 and 81,963.78

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Solution

The fourth proportional to 139,322.18, 192,253.95 and 81,963.78 is: 113,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,322.18 : 192,253.95 = 81,963.78 : x
  2. Step 2: Convert to fraction form
    139,322.18/192,253.95 = 81,963.78/x
  3. Step 3: Cross multiply
    139,322.18x = 192,253.95 × 81,963.78
  4. Step 4: Simplify right side
    139,322.18x = 15,757,860,461.93
  5. Step 5: Solve for x
    x = 15,757,860,461.93/139,322.18
  6. Step 6: Final answer
    x = 113,103.75

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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.