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Finding the Fourth Proportional to 139,288, 192,216.96 and 78,857.44

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Solution

The fourth proportional to 139,288, 192,216.96 and 78,857.44 is: 108,823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,288 : 192,216.96 = 78,857.44 : x
  2. Step 2: Convert to fraction form
    139,288/192,216.96 = 78,857.44/x
  3. Step 3: Cross multiply
    139,288x = 192,216.96 × 78,857.44
  4. Step 4: Simplify right side
    139,288x = 15,157,737,390.18
  5. Step 5: Solve for x
    x = 15,157,737,390.18/139,288
  6. Step 6: Final answer
    x = 108,823.00

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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.