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Finding the Fourth Proportional to 172,515.97, 238,097.49 and 103,610.08

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Solution

The fourth proportional to 172,515.97, 238,097.49 and 103,610.08 is: 142,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,515.97 : 238,097.49 = 103,610.08 : x
  2. Step 2: Convert to fraction form
    172,515.97/238,097.49 = 103,610.08/x
  3. Step 3: Cross multiply
    172,515.97x = 238,097.49 × 103,610.08
  4. Step 4: Simplify right side
    172,515.97x = 24,669,299,468.65
  5. Step 5: Solve for x
    x = 24,669,299,468.65/172,515.97
  6. Step 6: Final answer
    x = 142,997.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.