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Finding the Fourth Proportional to 163,658.84, 225,585.88 and 122,198.78

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Solution

The fourth proportional to 163,658.84, 225,585.88 and 122,198.78 is: 168,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,658.84 : 225,585.88 = 122,198.78 : x
  2. Step 2: Convert to fraction form
    163,658.84/225,585.88 = 122,198.78/x
  3. Step 3: Cross multiply
    163,658.84x = 225,585.88 × 122,198.78
  4. Step 4: Simplify right side
    163,658.84x = 27,566,319,579.69
  5. Step 5: Solve for x
    x = 27,566,319,579.69/163,658.84
  6. Step 6: Final answer
    x = 168,437.71

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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.