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Finding the Fourth Proportional to 172,765.71, 259,183.80 and 97,919.28

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Solution

The fourth proportional to 172,765.71, 259,183.80 and 97,919.28 is: 146,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,765.71 : 259,183.80 = 97,919.28 : x
  2. Step 2: Convert to fraction form
    172,765.71/259,183.80 = 97,919.28/x
  3. Step 3: Cross multiply
    172,765.71x = 259,183.80 × 97,919.28
  4. Step 4: Simplify right side
    172,765.71x = 25,379,091,083.66
  5. Step 5: Solve for x
    x = 25,379,091,083.66/172,765.71
  6. Step 6: Final answer
    x = 146,898.89

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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.