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Finding the Fourth Proportional to 221,205.94, 305,264.50 and 120,603.94

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Solution

The fourth proportional to 221,205.94, 305,264.50 and 120,603.94 is: 166,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,205.94 : 305,264.50 = 120,603.94 : x
  2. Step 2: Convert to fraction form
    221,205.94/305,264.50 = 120,603.94/x
  3. Step 3: Cross multiply
    221,205.94x = 305,264.50 × 120,603.94
  4. Step 4: Simplify right side
    221,205.94x = 36,816,100,377.46
  5. Step 5: Solve for x
    x = 36,816,100,377.46/221,205.94
  6. Step 6: Final answer
    x = 166,433.60

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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.