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Finding the Fourth Proportional to 102,028.66, 140,789.87 and 94,505.38

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Solution

The fourth proportional to 102,028.66, 140,789.87 and 94,505.38 is: 130,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,028.66 : 140,789.87 = 94,505.38 : x
  2. Step 2: Convert to fraction form
    102,028.66/140,789.87 = 94,505.38/x
  3. Step 3: Cross multiply
    102,028.66x = 140,789.87 × 94,505.38
  4. Step 4: Simplify right side
    102,028.66x = 13,305,399,340.00
  5. Step 5: Solve for x
    x = 13,305,399,340.00/102,028.66
  6. Step 6: Final answer
    x = 130,408.45

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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.