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Finding the Fourth Proportional to 208,411.43, 287,604.01 and 117,765.44

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Solution

The fourth proportional to 208,411.43, 287,604.01 and 117,765.44 is: 162,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,411.43 : 287,604.01 = 117,765.44 : x
  2. Step 2: Convert to fraction form
    208,411.43/287,604.01 = 117,765.44/x
  3. Step 3: Cross multiply
    208,411.43x = 287,604.01 × 117,765.44
  4. Step 4: Simplify right side
    208,411.43x = 33,869,812,783.41
  5. Step 5: Solve for x
    x = 33,869,812,783.41/208,411.43
  6. Step 6: Final answer
    x = 162,514.18

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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.