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Finding the Fourth Proportional to 136,275, 188,062.38 and 76,659

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Solution

The fourth proportional to 136,275, 188,062.38 and 76,659 is: 105,791.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,275 : 188,062.38 = 76,659 : x
  2. Step 2: Convert to fraction form
    136,275/188,062.38 = 76,659/x
  3. Step 3: Cross multiply
    136,275x = 188,062.38 × 76,659
  4. Step 4: Simplify right side
    136,275x = 14,416,673,988.42
  5. Step 5: Solve for x
    x = 14,416,673,988.42/136,275
  6. Step 6: Final answer
    x = 105,791.04

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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.