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Finding the Fourth Proportional to 85,256, 127,935.84 and 36,008

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Solution

The fourth proportional to 85,256, 127,935.84 and 36,008 is: 54,033.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,256 : 127,935.84 = 36,008 : x
  2. Step 2: Convert to fraction form
    85,256/127,935.84 = 36,008/x
  3. Step 3: Cross multiply
    85,256x = 127,935.84 × 36,008
  4. Step 4: Simplify right side
    85,256x = 4,606,713,726.72
  5. Step 5: Solve for x
    x = 4,606,713,726.72/85,256
  6. Step 6: Final answer
    x = 54,033.89

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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.