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Finding the Fourth Proportional to 208,115.44, 287,196.96 and 112,620.40

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Solution

The fourth proportional to 208,115.44, 287,196.96 and 112,620.40 is: 155,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,115.44 : 287,196.96 = 112,620.40 : x
  2. Step 2: Convert to fraction form
    208,115.44/287,196.96 = 112,620.40/x
  3. Step 3: Cross multiply
    208,115.44x = 287,196.96 × 112,620.40
  4. Step 4: Simplify right side
    208,115.44x = 32,344,236,513.98
  5. Step 5: Solve for x
    x = 32,344,236,513.98/208,115.44
  6. Step 6: Final answer
    x = 155,414.88

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1.5x scale

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.