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Finding the Fourth Proportional to 220,971.65, 304,940.90 and 120,369.65

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Solution

The fourth proportional to 220,971.65, 304,940.90 and 120,369.65 is: 166,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,971.65 : 304,940.90 = 120,369.65 : x
  2. Step 2: Convert to fraction form
    220,971.65/304,940.90 = 120,369.65/x
  3. Step 3: Cross multiply
    220,971.65x = 304,940.90 × 120,369.65
  4. Step 4: Simplify right side
    220,971.65x = 36,705,628,179.90
  5. Step 5: Solve for x
    x = 36,705,628,179.90/220,971.65
  6. Step 6: Final answer
    x = 166,110.13

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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.