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Finding the Fourth Proportional to 208,841.69, 288,201.80 and 113,348.41

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Solution

The fourth proportional to 208,841.69, 288,201.80 and 113,348.41 is: 156,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,841.69 : 288,201.80 = 113,348.41 : x
  2. Step 2: Convert to fraction form
    208,841.69/288,201.80 = 113,348.41/x
  3. Step 3: Cross multiply
    208,841.69x = 288,201.80 × 113,348.41
  4. Step 4: Simplify right side
    208,841.69x = 32,667,216,335.55
  5. Step 5: Solve for x
    x = 32,667,216,335.55/208,841.69
  6. Step 6: Final answer
    x = 156,420.95

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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.