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Finding the Fourth Proportional to 139,678.56, 192,756.42 and 76,014.96

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Solution

The fourth proportional to 139,678.56, 192,756.42 and 76,014.96 is: 104,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,678.56 : 192,756.42 = 76,014.96 : x
  2. Step 2: Convert to fraction form
    139,678.56/192,756.42 = 76,014.96/x
  3. Step 3: Cross multiply
    139,678.56x = 192,756.42 × 76,014.96
  4. Step 4: Simplify right side
    139,678.56x = 14,652,371,556.04
  5. Step 5: Solve for x
    x = 14,652,371,556.04/139,678.56
  6. Step 6: Final answer
    x = 104,900.65

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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.