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Finding the Fourth Proportional to 208,841.51, 288,201.56 and 113,348.21

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Solution

The fourth proportional to 208,841.51, 288,201.56 and 113,348.21 is: 156,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,841.51 : 288,201.56 = 113,348.21 : x
  2. Step 2: Convert to fraction form
    208,841.51/288,201.56 = 113,348.21/x
  3. Step 3: Cross multiply
    208,841.51x = 288,201.56 × 113,348.21
  4. Step 4: Simplify right side
    208,841.51x = 32,667,131,098.97
  5. Step 5: Solve for x
    x = 32,667,131,098.97/208,841.51
  6. Step 6: Final answer
    x = 156,420.68

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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.