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Finding the Fourth Proportional to 139,194.78, 192,089.31 and 75,532.57

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Solution

The fourth proportional to 139,194.78, 192,089.31 and 75,532.57 is: 104,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,194.78 : 192,089.31 = 75,532.57 : x
  2. Step 2: Convert to fraction form
    139,194.78/192,089.31 = 75,532.57/x
  3. Step 3: Cross multiply
    139,194.78x = 192,089.31 × 75,532.57
  4. Step 4: Simplify right side
    139,194.78x = 14,508,999,253.83
  5. Step 5: Solve for x
    x = 14,508,999,253.83/139,194.78
  6. Step 6: Final answer
    x = 104,235.23

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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.