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Finding the Fourth Proportional to 208,855.28, 288,212.56 and 113,359.94

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Solution

The fourth proportional to 208,855.28, 288,212.56 and 113,359.94 is: 156,432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,855.28 : 288,212.56 = 113,359.94 : x
  2. Step 2: Convert to fraction form
    208,855.28/288,212.56 = 113,359.94/x
  3. Step 3: Cross multiply
    208,855.28x = 288,212.56 × 113,359.94
  4. Step 4: Simplify right side
    208,855.28x = 32,671,758,508.85
  5. Step 5: Solve for x
    x = 32,671,758,508.85/208,855.28
  6. Step 6: Final answer
    x = 156,432.52

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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.