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Finding the Fourth Proportional to 208,841.94, 288,200.10 and 113,348.61

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Solution

The fourth proportional to 208,841.94, 288,200.10 and 113,348.61 is: 156,420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,841.94 : 288,200.10 = 113,348.61 : x
  2. Step 2: Convert to fraction form
    208,841.94/288,200.10 = 113,348.61/x
  3. Step 3: Cross multiply
    208,841.94x = 288,200.10 × 113,348.61
  4. Step 4: Simplify right side
    208,841.94x = 32,667,080,736.86
  5. Step 5: Solve for x
    x = 32,667,080,736.86/208,841.94
  6. Step 6: Final answer
    x = 156,420.12

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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.