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Finding the Fourth Proportional to 208,812.50, 288,161.46 and 113,319.22

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Solution

The fourth proportional to 208,812.50, 288,161.46 and 113,319.22 is: 156,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,812.50 : 288,161.46 = 113,319.22 : x
  2. Step 2: Convert to fraction form
    208,812.50/288,161.46 = 113,319.22/x
  3. Step 3: Cross multiply
    208,812.50x = 288,161.46 × 113,319.22
  4. Step 4: Simplify right side
    208,812.50x = 32,654,229,873.86
  5. Step 5: Solve for x
    x = 32,654,229,873.86/208,812.50
  6. Step 6: Final answer
    x = 156,380.63

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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.