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Finding the Fourth Proportional to 172,761.40, 259,178.46 and 97,917.40

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Solution

The fourth proportional to 172,761.40, 259,178.46 and 97,917.40 is: 146,896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,761.40 : 259,178.46 = 97,917.40 : x
  2. Step 2: Convert to fraction form
    172,761.40/259,178.46 = 97,917.40/x
  3. Step 3: Cross multiply
    172,761.40x = 259,178.46 × 97,917.40
  4. Step 4: Simplify right side
    172,761.40x = 25,378,080,939.20
  5. Step 5: Solve for x
    x = 25,378,080,939.20/172,761.40
  6. Step 6: Final answer
    x = 146,896.71

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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.