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Finding the Fourth Proportional to 139,744.49, 192,850.88 and 76,085.78

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Solution

The fourth proportional to 139,744.49, 192,850.88 and 76,085.78 is: 105,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,744.49 : 192,850.88 = 76,085.78 : x
  2. Step 2: Convert to fraction form
    139,744.49/192,850.88 = 76,085.78/x
  3. Step 3: Cross multiply
    139,744.49x = 192,850.88 × 76,085.78
  4. Step 4: Simplify right side
    139,744.49x = 14,673,208,283.80
  5. Step 5: Solve for x
    x = 14,673,208,283.80/139,744.49
  6. Step 6: Final answer
    x = 105,000.27

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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.