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Finding the Fourth Proportional to 154,494, 213,177.06 and 86,513.94

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Solution

The fourth proportional to 154,494, 213,177.06 and 86,513.94 is: 119,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,494 : 213,177.06 = 86,513.94 : x
  2. Step 2: Convert to fraction form
    154,494/213,177.06 = 86,513.94/x
  3. Step 3: Cross multiply
    154,494x = 213,177.06 × 86,513.94
  4. Step 4: Simplify right side
    154,494x = 18,442,787,378.22
  5. Step 5: Solve for x
    x = 18,442,787,378.22/154,494
  6. Step 6: Final answer
    x = 119,375.43

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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.