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Finding the Fourth Proportional to 139,696.34, 192,780.97 and 76,034.60

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Solution

The fourth proportional to 139,696.34, 192,780.97 and 76,034.60 is: 104,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,696.34 : 192,780.97 = 76,034.60 : x
  2. Step 2: Convert to fraction form
    139,696.34/192,780.97 = 76,034.60/x
  3. Step 3: Cross multiply
    139,696.34x = 192,780.97 × 76,034.60
  4. Step 4: Simplify right side
    139,696.34x = 14,658,023,941.56
  5. Step 5: Solve for x
    x = 14,658,023,941.56/139,696.34
  6. Step 6: Final answer
    x = 104,927.76

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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.