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Finding the Fourth Proportional to 136,633.80, 204,989.10 and 57,785.80

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Solution

The fourth proportional to 136,633.80, 204,989.10 and 57,785.80 is: 86,694.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,633.80 : 204,989.10 = 57,785.80 : x
  2. Step 2: Convert to fraction form
    136,633.80/204,989.10 = 57,785.80/x
  3. Step 3: Cross multiply
    136,633.80x = 204,989.10 × 57,785.80
  4. Step 4: Simplify right side
    136,633.80x = 11,845,459,134.78
  5. Step 5: Solve for x
    x = 11,845,459,134.78/136,633.80
  6. Step 6: Final answer
    x = 86,694.94

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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.