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Finding the Fourth Proportional to 213,281, 294,327.78 and 123,862.76

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Solution

The fourth proportional to 213,281, 294,327.78 and 123,862.76 is: 170,930.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,281 : 294,327.78 = 123,862.76 : x
  2. Step 2: Convert to fraction form
    213,281/294,327.78 = 123,862.76/x
  3. Step 3: Cross multiply
    213,281x = 294,327.78 × 123,862.76
  4. Step 4: Simplify right side
    213,281x = 36,456,251,175.47
  5. Step 5: Solve for x
    x = 36,456,251,175.47/213,281
  6. Step 6: Final answer
    x = 170,930.61

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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.