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Finding the Fourth Proportional to 85,187.56, 127,789.02 and 22,857.64

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Solution

The fourth proportional to 85,187.56, 127,789.02 and 22,857.64 is: 34,288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,187.56 : 127,789.02 = 22,857.64 : x
  2. Step 2: Convert to fraction form
    85,187.56/127,789.02 = 22,857.64/x
  3. Step 3: Cross multiply
    85,187.56x = 127,789.02 × 22,857.64
  4. Step 4: Simplify right side
    85,187.56x = 2,920,955,415.11
  5. Step 5: Solve for x
    x = 2,920,955,415.11/85,187.56
  6. Step 6: Final answer
    x = 34,288.52

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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.