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Finding the Fourth Proportional to 221,405.89, 305,539.95 and 120,803.89

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Solution

The fourth proportional to 221,405.89, 305,539.95 and 120,803.89 is: 166,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,405.89 : 305,539.95 = 120,803.89 : x
  2. Step 2: Convert to fraction form
    221,405.89/305,539.95 = 120,803.89/x
  3. Step 3: Cross multiply
    221,405.89x = 305,539.95 × 120,803.89
  4. Step 4: Simplify right side
    221,405.89x = 36,910,414,510.41
  5. Step 5: Solve for x
    x = 36,910,414,510.41/221,405.89
  6. Step 6: Final answer
    x = 166,709.27

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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.