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Finding the Fourth Proportional to 208,864.80, 288,234.88 and 113,371.48

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Solution

The fourth proportional to 208,864.80, 288,234.88 and 113,371.48 is: 156,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,864.80 : 288,234.88 = 113,371.48 : x
  2. Step 2: Convert to fraction form
    208,864.80/288,234.88 = 113,371.48/x
  3. Step 3: Cross multiply
    208,864.80x = 288,234.88 × 113,371.48
  4. Step 4: Simplify right side
    208,864.80x = 32,677,614,933.22
  5. Step 5: Solve for x
    x = 32,677,614,933.22/208,864.80
  6. Step 6: Final answer
    x = 156,453.43

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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.