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Finding the Fourth Proportional to 154,954.68, 213,826.86 and 86,963.64

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Solution

The fourth proportional to 154,954.68, 213,826.86 and 86,963.64 is: 120,003.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,954.68 : 213,826.86 = 86,963.64 : x
  2. Step 2: Convert to fraction form
    154,954.68/213,826.86 = 86,963.64/x
  3. Step 3: Cross multiply
    154,954.68x = 213,826.86 × 86,963.64
  4. Step 4: Simplify right side
    154,954.68x = 18,595,162,075.37
  5. Step 5: Solve for x
    x = 18,595,162,075.37/154,954.68
  6. Step 6: Final answer
    x = 120,003.88

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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.