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Finding the Fourth Proportional to 208,229.30, 287,356.08 and 112,736

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Solution

The fourth proportional to 208,229.30, 287,356.08 and 112,736 is: 155,575.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,229.30 : 287,356.08 = 112,736 : x
  2. Step 2: Convert to fraction form
    208,229.30/287,356.08 = 112,736/x
  3. Step 3: Cross multiply
    208,229.30x = 287,356.08 × 112,736
  4. Step 4: Simplify right side
    208,229.30x = 32,395,375,034.88
  5. Step 5: Solve for x
    x = 32,395,375,034.88/208,229.30
  6. Step 6: Final answer
    x = 155,575.49

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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.