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Finding the Fourth Proportional to 208,865.88, 288,235.22 and 113,372.64

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Solution

The fourth proportional to 208,865.88, 288,235.22 and 113,372.64 is: 156,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,865.88 : 288,235.22 = 113,372.64 : x
  2. Step 2: Convert to fraction form
    208,865.88/288,235.22 = 113,372.64/x
  3. Step 3: Cross multiply
    208,865.88x = 288,235.22 × 113,372.64
  4. Step 4: Simplify right side
    208,865.88x = 32,677,987,265.52
  5. Step 5: Solve for x
    x = 32,677,987,265.52/208,865.88
  6. Step 6: Final answer
    x = 156,454.41

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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.