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Finding the Fourth Proportional to 139,504.82, 192,508.43 and 75,842.06

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Solution

The fourth proportional to 139,504.82, 192,508.43 and 75,842.06 is: 104,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,504.82 : 192,508.43 = 75,842.06 : x
  2. Step 2: Convert to fraction form
    139,504.82/192,508.43 = 75,842.06/x
  3. Step 3: Cross multiply
    139,504.82x = 192,508.43 × 75,842.06
  4. Step 4: Simplify right side
    139,504.82x = 14,600,234,556.81
  5. Step 5: Solve for x
    x = 14,600,234,556.81/139,504.82
  6. Step 6: Final answer
    x = 104,657.57

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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.