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Finding the Fourth Proportional to 208,812.75, 288,161.80 and 113,319.47

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Solution

The fourth proportional to 208,812.75, 288,161.80 and 113,319.47 is: 156,380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,812.75 : 288,161.80 = 113,319.47 : x
  2. Step 2: Convert to fraction form
    208,812.75/288,161.80 = 113,319.47/x
  3. Step 3: Cross multiply
    208,812.75x = 288,161.80 × 113,319.47
  4. Step 4: Simplify right side
    208,812.75x = 32,654,341,009.44
  5. Step 5: Solve for x
    x = 32,654,341,009.44/208,812.75
  6. Step 6: Final answer
    x = 156,380.97

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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.