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Finding the Fourth Proportional to 172,866.18, 259,299.54 and 113,964.96

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Solution

The fourth proportional to 172,866.18, 259,299.54 and 113,964.96 is: 170,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,866.18 : 259,299.54 = 113,964.96 : x
  2. Step 2: Convert to fraction form
    172,866.18/259,299.54 = 113,964.96/x
  3. Step 3: Cross multiply
    172,866.18x = 259,299.54 × 113,964.96
  4. Step 4: Simplify right side
    172,866.18x = 29,551,061,704.12
  5. Step 5: Solve for x
    x = 29,551,061,704.12/172,866.18
  6. Step 6: Final answer
    x = 170,947.62

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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.