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Finding the Fourth Proportional to 154,952.96, 213,826.10 and 86,963.58

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Solution

The fourth proportional to 154,952.96, 213,826.10 and 86,963.58 is: 120,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,952.96 : 213,826.10 = 86,963.58 : x
  2. Step 2: Convert to fraction form
    154,952.96/213,826.10 = 86,963.58/x
  3. Step 3: Cross multiply
    154,952.96x = 213,826.10 × 86,963.58
  4. Step 4: Simplify right side
    154,952.96x = 18,595,082,718.62
  5. Step 5: Solve for x
    x = 18,595,082,718.62/154,952.96
  6. Step 6: Final answer
    x = 120,004.70

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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.