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Finding the Fourth Proportional to 101,191.64, 139,757.24 and 78,800

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Solution

The fourth proportional to 101,191.64, 139,757.24 and 78,800 is: 108,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,191.64 : 139,757.24 = 78,800 : x
  2. Step 2: Convert to fraction form
    101,191.64/139,757.24 = 78,800/x
  3. Step 3: Cross multiply
    101,191.64x = 139,757.24 × 78,800
  4. Step 4: Simplify right side
    101,191.64x = 11,012,870,512
  5. Step 5: Solve for x
    x = 11,012,870,512/101,191.64
  6. Step 6: Final answer
    x = 108,831.82

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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.