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Finding the Fourth Proportional to 208,198.46, 287,311.92 and 112,702.70

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Solution

The fourth proportional to 208,198.46, 287,311.92 and 112,702.70 is: 155,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,198.46 : 287,311.92 = 112,702.70 : x
  2. Step 2: Convert to fraction form
    208,198.46/287,311.92 = 112,702.70/x
  3. Step 3: Cross multiply
    208,198.46x = 287,311.92 × 112,702.70
  4. Step 4: Simplify right side
    208,198.46x = 32,380,829,126.18
  5. Step 5: Solve for x
    x = 32,380,829,126.18/208,198.46
  6. Step 6: Final answer
    x = 155,528.67

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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.