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Finding the Fourth Proportional to 136,745.53, 188,718.30 and 76,327.97

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Solution

The fourth proportional to 136,745.53, 188,718.30 and 76,327.97 is: 105,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,745.53 : 188,718.30 = 76,327.97 : x
  2. Step 2: Convert to fraction form
    136,745.53/188,718.30 = 76,327.97/x
  3. Step 3: Cross multiply
    136,745.53x = 188,718.30 × 76,327.97
  4. Step 4: Simplify right side
    136,745.53x = 14,404,483,797.26
  5. Step 5: Solve for x
    x = 14,404,483,797.26/136,745.53
  6. Step 6: Final answer
    x = 105,337.88

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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.