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Finding the Fourth Proportional to 172,859, 259,288.50 and 41,531

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Solution

The fourth proportional to 172,859, 259,288.50 and 41,531 is: 62,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,859 : 259,288.50 = 41,531 : x
  2. Step 2: Convert to fraction form
    172,859/259,288.50 = 41,531/x
  3. Step 3: Cross multiply
    172,859x = 259,288.50 × 41,531
  4. Step 4: Simplify right side
    172,859x = 10,768,510,693.50
  5. Step 5: Solve for x
    x = 10,768,510,693.50/172,859
  6. Step 6: Final answer
    x = 62,296.50

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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.