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Finding the Fourth Proportional to 208,821.62, 288,169.74 and 118,175.90

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Solution

The fourth proportional to 208,821.62, 288,169.74 and 118,175.90 is: 163,080.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,821.62 : 288,169.74 = 118,175.90 : x
  2. Step 2: Convert to fraction form
    208,821.62/288,169.74 = 118,175.90/x
  3. Step 3: Cross multiply
    208,821.62x = 288,169.74 × 118,175.90
  4. Step 4: Simplify right side
    208,821.62x = 34,054,718,377.27
  5. Step 5: Solve for x
    x = 34,054,718,377.27/208,821.62
  6. Step 6: Final answer
    x = 163,080.42

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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.