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Finding the Fourth Proportional to 213,677.76, 320,590.98 and 80,596.20

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Solution

The fourth proportional to 213,677.76, 320,590.98 and 80,596.20 is: 120,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,677.76 : 320,590.98 = 80,596.20 : x
  2. Step 2: Convert to fraction form
    213,677.76/320,590.98 = 80,596.20/x
  3. Step 3: Cross multiply
    213,677.76x = 320,590.98 × 80,596.20
  4. Step 4: Simplify right side
    213,677.76x = 25,838,414,742.28
  5. Step 5: Solve for x
    x = 25,838,414,742.28/213,677.76
  6. Step 6: Final answer
    x = 120,922.34

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1.5x scale

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.