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Finding the Fourth Proportional to 208,724.76, 288,032.40 and 113,229.42

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Solution

The fourth proportional to 208,724.76, 288,032.40 and 113,229.42 is: 156,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,724.76 : 288,032.40 = 113,229.42 : x
  2. Step 2: Convert to fraction form
    208,724.76/288,032.40 = 113,229.42/x
  3. Step 3: Cross multiply
    208,724.76x = 288,032.40 × 113,229.42
  4. Step 4: Simplify right side
    208,724.76x = 32,613,741,593.21
  5. Step 5: Solve for x
    x = 32,613,741,593.21/208,724.76
  6. Step 6: Final answer
    x = 156,252.39

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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.