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Finding the Fourth Proportional to 85,092.64, 127,629.28 and 22,768

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Solution

The fourth proportional to 85,092.64, 127,629.28 and 22,768 is: 34,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,092.64 : 127,629.28 = 22,768 : x
  2. Step 2: Convert to fraction form
    85,092.64/127,629.28 = 22,768/x
  3. Step 3: Cross multiply
    85,092.64x = 127,629.28 × 22,768
  4. Step 4: Simplify right side
    85,092.64x = 2,905,863,447.04
  5. Step 5: Solve for x
    x = 2,905,863,447.04/85,092.64
  6. Step 6: Final answer
    x = 34,149.41

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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.