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Finding the Fourth Proportional to 139,763.76, 192,874.22 and 76,101.82

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Solution

The fourth proportional to 139,763.76, 192,874.22 and 76,101.82 is: 105,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,763.76 : 192,874.22 = 76,101.82 : x
  2. Step 2: Convert to fraction form
    139,763.76/192,874.22 = 76,101.82/x
  3. Step 3: Cross multiply
    139,763.76x = 192,874.22 × 76,101.82
  4. Step 4: Simplify right side
    139,763.76x = 14,678,079,173.08
  5. Step 5: Solve for x
    x = 14,678,079,173.08/139,763.76
  6. Step 6: Final answer
    x = 105,020.64

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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.