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Finding the Fourth Proportional to 172,998.36, 238,696.99 and 105,013.65

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Solution

The fourth proportional to 172,998.36, 238,696.99 and 105,013.65 is: 144,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,998.36 : 238,696.99 = 105,013.65 : x
  2. Step 2: Convert to fraction form
    172,998.36/238,696.99 = 105,013.65/x
  3. Step 3: Cross multiply
    172,998.36x = 238,696.99 × 105,013.65
  4. Step 4: Simplify right side
    172,998.36x = 25,066,442,163.91
  5. Step 5: Solve for x
    x = 25,066,442,163.91/172,998.36
  6. Step 6: Final answer
    x = 144,894.10

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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.