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Finding the Fourth Proportional to 136,684.70, 205,027.05 and 83,923.10

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Solution

The fourth proportional to 136,684.70, 205,027.05 and 83,923.10 is: 125,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,684.70 : 205,027.05 = 83,923.10 : x
  2. Step 2: Convert to fraction form
    136,684.70/205,027.05 = 83,923.10/x
  3. Step 3: Cross multiply
    136,684.70x = 205,027.05 × 83,923.10
  4. Step 4: Simplify right side
    136,684.70x = 17,206,505,619.86
  5. Step 5: Solve for x
    x = 17,206,505,619.86/136,684.70
  6. Step 6: Final answer
    x = 125,884.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.