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Finding the Fourth Proportional to 208,425.81, 287,596.58 and 117,781.04

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Solution

The fourth proportional to 208,425.81, 287,596.58 and 117,781.04 is: 162,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,425.81 : 287,596.58 = 117,781.04 : x
  2. Step 2: Convert to fraction form
    208,425.81/287,596.58 = 117,781.04/x
  3. Step 3: Cross multiply
    208,425.81x = 287,596.58 × 117,781.04
  4. Step 4: Simplify right side
    208,425.81x = 33,873,422,805.20
  5. Step 5: Solve for x
    x = 33,873,422,805.20/208,425.81
  6. Step 6: Final answer
    x = 162,520.29

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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.