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Finding the Fourth Proportional to 154,874.97, 213,723.36 and 86,886.27

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Solution

The fourth proportional to 154,874.97, 213,723.36 and 86,886.27 is: 119,900.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,874.97 : 213,723.36 = 86,886.27 : x
  2. Step 2: Convert to fraction form
    154,874.97/213,723.36 = 86,886.27/x
  3. Step 3: Cross multiply
    154,874.97x = 213,723.36 × 86,886.27
  4. Step 4: Simplify right side
    154,874.97x = 18,569,625,562.27
  5. Step 5: Solve for x
    x = 18,569,625,562.27/154,874.97
  6. Step 6: Final answer
    x = 119,900.75

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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.