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Finding the Fourth Proportional to 180,028, 269,857.68 and 74,908

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Solution

The fourth proportional to 180,028, 269,857.68 and 74,908 is: 112,285.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,028 : 269,857.68 = 74,908 : x
  2. Step 2: Convert to fraction form
    180,028/269,857.68 = 74,908/x
  3. Step 3: Cross multiply
    180,028x = 269,857.68 × 74,908
  4. Step 4: Simplify right side
    180,028x = 20,214,499,093.44
  5. Step 5: Solve for x
    x = 20,214,499,093.44/180,028
  6. Step 6: Final answer
    x = 112,285.31

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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.