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Finding the Fourth Proportional to 221,113.50, 305,145.03 and 120,511.50

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Solution

The fourth proportional to 221,113.50, 305,145.03 and 120,511.50 is: 166,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,113.50 : 305,145.03 = 120,511.50 : x
  2. Step 2: Convert to fraction form
    221,113.50/305,145.03 = 120,511.50/x
  3. Step 3: Cross multiply
    221,113.50x = 305,145.03 × 120,511.50
  4. Step 4: Simplify right side
    221,113.50x = 36,773,485,282.85
  5. Step 5: Solve for x
    x = 36,773,485,282.85/221,113.50
  6. Step 6: Final answer
    x = 166,310.45

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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.