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Finding the Fourth Proportional to 208,687.59, 287,674.84 and 163,286.69

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Solution

The fourth proportional to 208,687.59, 287,674.84 and 163,286.69 is: 225,089.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,687.59 : 287,674.84 = 163,286.69 : x
  2. Step 2: Convert to fraction form
    208,687.59/287,674.84 = 163,286.69/x
  3. Step 3: Cross multiply
    208,687.59x = 287,674.84 × 163,286.69
  4. Step 4: Simplify right side
    208,687.59x = 46,973,471,185.61
  5. Step 5: Solve for x
    x = 46,973,471,185.61/208,687.59
  6. Step 6: Final answer
    x = 225,089.91

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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.