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Finding the Fourth Proportional to 252,095.49, 378,143.24 and 172,969.83

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Solution

The fourth proportional to 252,095.49, 378,143.24 and 172,969.83 is: 259,454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,095.49 : 378,143.24 = 172,969.83 : x
  2. Step 2: Convert to fraction form
    252,095.49/378,143.24 = 172,969.83/x
  3. Step 3: Cross multiply
    252,095.49x = 378,143.24 × 172,969.83
  4. Step 4: Simplify right side
    252,095.49x = 65,407,371,073.60
  5. Step 5: Solve for x
    x = 65,407,371,073.60/252,095.49
  6. Step 6: Final answer
    x = 259,454.75

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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.