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Finding the Fourth Proportional to 174,396.80, 240,694.56 and 102,800

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Solution

The fourth proportional to 174,396.80, 240,694.56 and 102,800 is: 141,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,396.80 : 240,694.56 = 102,800 : x
  2. Step 2: Convert to fraction form
    174,396.80/240,694.56 = 102,800/x
  3. Step 3: Cross multiply
    174,396.80x = 240,694.56 × 102,800
  4. Step 4: Simplify right side
    174,396.80x = 24,743,400,768
  5. Step 5: Solve for x
    x = 24,743,400,768/174,396.80
  6. Step 6: Final answer
    x = 141,879.90

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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.