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Finding the Fourth Proportional to 208,118.32, 287,204 and 112,625

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Solution

The fourth proportional to 208,118.32, 287,204 and 112,625 is: 155,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,118.32 : 287,204 = 112,625 : x
  2. Step 2: Convert to fraction form
    208,118.32/287,204 = 112,625/x
  3. Step 3: Cross multiply
    208,118.32x = 287,204 × 112,625
  4. Step 4: Simplify right side
    208,118.32x = 32,346,350,500
  5. Step 5: Solve for x
    x = 32,346,350,500/208,118.32
  6. Step 6: Final answer
    x = 155,422.89

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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.