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Finding the Fourth Proportional to 208,169.84, 287,279.96 and 126,470.28

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Solution

The fourth proportional to 208,169.84, 287,279.96 and 126,470.28 is: 174,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,169.84 : 287,279.96 = 126,470.28 : x
  2. Step 2: Convert to fraction form
    208,169.84/287,279.96 = 126,470.28/x
  3. Step 3: Cross multiply
    208,169.84x = 287,279.96 × 126,470.28
  4. Step 4: Simplify right side
    208,169.84x = 36,332,376,979.59
  5. Step 5: Solve for x
    x = 36,332,376,979.59/208,169.84
  6. Step 6: Final answer
    x = 174,532.38

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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.