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Finding the Fourth Proportional to 208,099.26, 287,176.50 and 112,605.90

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Solution

The fourth proportional to 208,099.26, 287,176.50 and 112,605.90 is: 155,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,099.26 : 287,176.50 = 112,605.90 : x
  2. Step 2: Convert to fraction form
    208,099.26/287,176.50 = 112,605.90/x
  3. Step 3: Cross multiply
    208,099.26x = 287,176.50 × 112,605.90
  4. Step 4: Simplify right side
    208,099.26x = 32,337,768,241.35
  5. Step 5: Solve for x
    x = 32,337,768,241.35/208,099.26
  6. Step 6: Final answer
    x = 155,395.88

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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.