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Finding the Fourth Proportional to 208,863.90, 288,231.21 and 113,369.76

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Solution

The fourth proportional to 208,863.90, 288,231.21 and 113,369.76 is: 156,449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,863.90 : 288,231.21 = 113,369.76 : x
  2. Step 2: Convert to fraction form
    208,863.90/288,231.21 = 113,369.76/x
  3. Step 3: Cross multiply
    208,863.90x = 288,231.21 × 113,369.76
  4. Step 4: Simplify right side
    208,863.90x = 32,676,703,102.21
  5. Step 5: Solve for x
    x = 32,676,703,102.21/208,863.90
  6. Step 6: Final answer
    x = 156,449.74

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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.