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Finding the Fourth Proportional to 139,704.80, 192,809.01 and 78,461.03

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Solution

The fourth proportional to 139,704.80, 192,809.01 and 78,461.03 is: 108,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,704.80 : 192,809.01 = 78,461.03 : x
  2. Step 2: Convert to fraction form
    139,704.80/192,809.01 = 78,461.03/x
  3. Step 3: Cross multiply
    139,704.80x = 192,809.01 × 78,461.03
  4. Step 4: Simplify right side
    139,704.80x = 15,127,992,553.84
  5. Step 5: Solve for x
    x = 15,127,992,553.84/139,704.80
  6. Step 6: Final answer
    x = 108,285.42

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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.