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Finding the Fourth Proportional to 136,751.76, 188,716.80 and 76,321.68

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Solution

The fourth proportional to 136,751.76, 188,716.80 and 76,321.68 is: 105,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,751.76 : 188,716.80 = 76,321.68 : x
  2. Step 2: Convert to fraction form
    136,751.76/188,716.80 = 76,321.68/x
  3. Step 3: Cross multiply
    136,751.76x = 188,716.80 × 76,321.68
  4. Step 4: Simplify right side
    136,751.76x = 14,403,183,220.22
  5. Step 5: Solve for x
    x = 14,403,183,220.22/136,751.76
  6. Step 6: Final answer
    x = 105,323.57

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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.