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Finding the Fourth Proportional to 139,398.07, 192,378.84 and 78,969.21

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Solution

The fourth proportional to 139,398.07, 192,378.84 and 78,969.21 is: 108,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,398.07 : 192,378.84 = 78,969.21 : x
  2. Step 2: Convert to fraction form
    139,398.07/192,378.84 = 78,969.21/x
  3. Step 3: Cross multiply
    139,398.07x = 192,378.84 × 78,969.21
  4. Step 4: Simplify right side
    139,398.07x = 15,192,005,015.52
  5. Step 5: Solve for x
    x = 15,192,005,015.52/139,398.07
  6. Step 6: Final answer
    x = 108,982.89

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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.