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Finding the Fourth Proportional to 213,866, 295,200.78 and 123,282.52

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Solution

The fourth proportional to 213,866, 295,200.78 and 123,282.52 is: 170,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,866 : 295,200.78 = 123,282.52 : x
  2. Step 2: Convert to fraction form
    213,866/295,200.78 = 123,282.52/x
  3. Step 3: Cross multiply
    213,866x = 295,200.78 × 123,282.52
  4. Step 4: Simplify right side
    213,866x = 36,393,096,064.37
  5. Step 5: Solve for x
    x = 36,393,096,064.37/213,866
  6. Step 6: Final answer
    x = 170,167.75

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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.