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Finding the Fourth Proportional to 221,597.25, 305,805.02 and 120,995.25

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Solution

The fourth proportional to 221,597.25, 305,805.02 and 120,995.25 is: 166,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,597.25 : 305,805.02 = 120,995.25 : x
  2. Step 2: Convert to fraction form
    221,597.25/305,805.02 = 120,995.25/x
  3. Step 3: Cross multiply
    221,597.25x = 305,805.02 × 120,995.25
  4. Step 4: Simplify right side
    221,597.25x = 37,000,954,241.18
  5. Step 5: Solve for x
    x = 37,000,954,241.18/221,597.25
  6. Step 6: Final answer
    x = 166,973.89

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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.