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Finding the Fourth Proportional to 208,737.10, 288,057.75 and 113,243.79

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Solution

The fourth proportional to 208,737.10, 288,057.75 and 113,243.79 is: 156,276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,737.10 : 288,057.75 = 113,243.79 : x
  2. Step 2: Convert to fraction form
    208,737.10/288,057.75 = 113,243.79/x
  3. Step 3: Cross multiply
    208,737.10x = 288,057.75 × 113,243.79
  4. Step 4: Simplify right side
    208,737.10x = 32,620,751,348.87
  5. Step 5: Solve for x
    x = 32,620,751,348.87/208,737.10
  6. Step 6: Final answer
    x = 156,276.73

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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.