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Finding the Fourth Proportional to 208,864.80, 288,234.90 and 113,371.50

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Solution

The fourth proportional to 208,864.80, 288,234.90 and 113,371.50 is: 156,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,864.80 : 288,234.90 = 113,371.50 : x
  2. Step 2: Convert to fraction form
    208,864.80/288,234.90 = 113,371.50/x
  3. Step 3: Cross multiply
    208,864.80x = 288,234.90 × 113,371.50
  4. Step 4: Simplify right side
    208,864.80x = 32,677,622,965.35
  5. Step 5: Solve for x
    x = 32,677,622,965.35/208,864.80
  6. Step 6: Final answer
    x = 156,453.47

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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.