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Finding the Fourth Proportional to 208,081, 287,120.97 and 126,366.75

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Solution

The fourth proportional to 208,081, 287,120.97 and 126,366.75 is: 174,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,081 : 287,120.97 = 126,366.75 : x
  2. Step 2: Convert to fraction form
    208,081/287,120.97 = 126,366.75/x
  3. Step 3: Cross multiply
    208,081x = 287,120.97 × 126,366.75
  4. Step 4: Simplify right side
    208,081x = 36,282,543,835.75
  5. Step 5: Solve for x
    x = 36,282,543,835.75/208,081
  6. Step 6: Final answer
    x = 174,367.40

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1.5x scale

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.