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Finding the Fourth Proportional to 208,195.78, 287,310.33 and 112,702.18

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Solution

The fourth proportional to 208,195.78, 287,310.33 and 112,702.18 is: 155,529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,195.78 : 287,310.33 = 112,702.18 : x
  2. Step 2: Convert to fraction form
    208,195.78/287,310.33 = 112,702.18/x
  3. Step 3: Cross multiply
    208,195.78x = 287,310.33 × 112,702.18
  4. Step 4: Simplify right side
    208,195.78x = 32,380,500,527.52
  5. Step 5: Solve for x
    x = 32,380,500,527.52/208,195.78
  6. Step 6: Final answer
    x = 155,529.09

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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.