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Finding the Fourth Proportional to 100,736.42, 139,020.96 and 58,286.74

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Solution

The fourth proportional to 100,736.42, 139,020.96 and 58,286.74 is: 80,438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,736.42 : 139,020.96 = 58,286.74 : x
  2. Step 2: Convert to fraction form
    100,736.42/139,020.96 = 58,286.74/x
  3. Step 3: Cross multiply
    100,736.42x = 139,020.96 × 58,286.74
  4. Step 4: Simplify right side
    100,736.42x = 8,103,078,550.07
  5. Step 5: Solve for x
    x = 8,103,078,550.07/100,736.42
  6. Step 6: Final answer
    x = 80,438.42

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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.