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Finding the Fourth Proportional to 208,692.24, 287,993.25 and 113,197.56

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Solution

The fourth proportional to 208,692.24, 287,993.25 and 113,197.56 is: 156,211.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,692.24 : 287,993.25 = 113,197.56 : x
  2. Step 2: Convert to fraction form
    208,692.24/287,993.25 = 113,197.56/x
  3. Step 3: Cross multiply
    208,692.24x = 287,993.25 × 113,197.56
  4. Step 4: Simplify right side
    208,692.24x = 32,600,133,196.47
  5. Step 5: Solve for x
    x = 32,600,133,196.47/208,692.24
  6. Step 6: Final answer
    x = 156,211.53

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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.