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Finding the Fourth Proportional to 139,227.41, 192,117.87 and 77,965.05

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Solution

The fourth proportional to 139,227.41, 192,117.87 and 77,965.05 is: 107,582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,227.41 : 192,117.87 = 77,965.05 : x
  2. Step 2: Convert to fraction form
    139,227.41/192,117.87 = 77,965.05/x
  3. Step 3: Cross multiply
    139,227.41x = 192,117.87 × 77,965.05
  4. Step 4: Simplify right side
    139,227.41x = 14,978,479,340.44
  5. Step 5: Solve for x
    x = 14,978,479,340.44/139,227.41
  6. Step 6: Final answer
    x = 107,582.84

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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.