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Finding the Fourth Proportional to 221,017.02, 305,003.52 and 120,415.02

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Solution

The fourth proportional to 221,017.02, 305,003.52 and 120,415.02 is: 166,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,017.02 : 305,003.52 = 120,415.02 : x
  2. Step 2: Convert to fraction form
    221,017.02/305,003.52 = 120,415.02/x
  3. Step 3: Cross multiply
    221,017.02x = 305,003.52 × 120,415.02
  4. Step 4: Simplify right side
    221,017.02x = 36,727,004,960.87
  5. Step 5: Solve for x
    x = 36,727,004,960.87/221,017.02
  6. Step 6: Final answer
    x = 166,172.75

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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.