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Finding the Fourth Proportional to 221,087.08, 305,100.18 and 120,485

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Solution

The fourth proportional to 221,087.08, 305,100.18 and 120,485 is: 166,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,087.08 : 305,100.18 = 120,485 : x
  2. Step 2: Convert to fraction form
    221,087.08/305,100.18 = 120,485/x
  3. Step 3: Cross multiply
    221,087.08x = 305,100.18 × 120,485
  4. Step 4: Simplify right side
    221,087.08x = 36,759,995,187.30
  5. Step 5: Solve for x
    x = 36,759,995,187.30/221,087.08
  6. Step 6: Final answer
    x = 166,269.31

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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.