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Finding the Fourth Proportional to 208,698.92, 287,684.94 and 127,976.75

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Solution

The fourth proportional to 208,698.92, 287,684.94 and 127,976.75 is: 176,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,698.92 : 287,684.94 = 127,976.75 : x
  2. Step 2: Convert to fraction form
    208,698.92/287,684.94 = 127,976.75/x
  3. Step 3: Cross multiply
    208,698.92x = 287,684.94 × 127,976.75
  4. Step 4: Simplify right side
    208,698.92x = 36,816,983,645.15
  5. Step 5: Solve for x
    x = 36,816,983,645.15/208,698.92
  6. Step 6: Final answer
    x = 176,411.95

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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.