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Finding the Fourth Proportional to 221,668.42, 305,902.38 and 121,066.42

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Solution

The fourth proportional to 221,668.42, 305,902.38 and 121,066.42 is: 167,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,668.42 : 305,902.38 = 121,066.42 : x
  2. Step 2: Convert to fraction form
    221,668.42/305,902.38 = 121,066.42/x
  3. Step 3: Cross multiply
    221,668.42x = 305,902.38 × 121,066.42
  4. Step 4: Simplify right side
    221,668.42x = 37,034,506,016.08
  5. Step 5: Solve for x
    x = 37,034,506,016.08/221,668.42
  6. Step 6: Final answer
    x = 167,071.64

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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.