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Finding the Fourth Proportional to 139,686.97, 192,764.31 and 76,023.40

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Solution

The fourth proportional to 139,686.97, 192,764.31 and 76,023.40 is: 104,910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,686.97 : 192,764.31 = 76,023.40 : x
  2. Step 2: Convert to fraction form
    139,686.97/192,764.31 = 76,023.40/x
  3. Step 3: Cross multiply
    139,686.97x = 192,764.31 × 76,023.40
  4. Step 4: Simplify right side
    139,686.97x = 14,654,598,244.85
  5. Step 5: Solve for x
    x = 14,654,598,244.85/139,686.97
  6. Step 6: Final answer
    x = 104,910.27

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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.