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Finding the Fourth Proportional to 139,504.64, 192,517.62 and 75,842.48

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Solution

The fourth proportional to 139,504.64, 192,517.62 and 75,842.48 is: 104,663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,504.64 : 192,517.62 = 75,842.48 : x
  2. Step 2: Convert to fraction form
    139,504.64/192,517.62 = 75,842.48/x
  3. Step 3: Cross multiply
    139,504.64x = 192,517.62 × 75,842.48
  4. Step 4: Simplify right side
    139,504.64x = 14,601,013,744.50
  5. Step 5: Solve for x
    x = 14,601,013,744.50/139,504.64
  6. Step 6: Final answer
    x = 104,663.28

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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.