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Finding the Fourth Proportional to 209,216, 313,893.12 and 84,488.96

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Solution

The fourth proportional to 209,216, 313,893.12 and 84,488.96 is: 126,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,216 : 313,893.12 = 84,488.96 : x
  2. Step 2: Convert to fraction form
    209,216/313,893.12 = 84,488.96/x
  3. Step 3: Cross multiply
    209,216x = 313,893.12 × 84,488.96
  4. Step 4: Simplify right side
    209,216x = 26,520,503,259.96
  5. Step 5: Solve for x
    x = 26,520,503,259.96/209,216
  6. Step 6: Final answer
    x = 126,761.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.