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Finding the Fourth Proportional to 208,998.72, 288,416.97 and 113,504.58

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Solution

The fourth proportional to 208,998.72, 288,416.97 and 113,504.58 is: 156,635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,998.72 : 288,416.97 = 113,504.58 : x
  2. Step 2: Convert to fraction form
    208,998.72/288,416.97 = 113,504.58/x
  3. Step 3: Cross multiply
    208,998.72x = 288,416.97 × 113,504.58
  4. Step 4: Simplify right side
    208,998.72x = 32,736,647,044.72
  5. Step 5: Solve for x
    x = 32,736,647,044.72/208,998.72
  6. Step 6: Final answer
    x = 156,635.63

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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.