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Finding the Fourth Proportional to 281,956.14, 389,120.06 and 161,094.84

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Solution

The fourth proportional to 281,956.14, 389,120.06 and 161,094.84 is: 222,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,956.14 : 389,120.06 = 161,094.84 : x
  2. Step 2: Convert to fraction form
    281,956.14/389,120.06 = 161,094.84/x
  3. Step 3: Cross multiply
    281,956.14x = 389,120.06 × 161,094.84
  4. Step 4: Simplify right side
    281,956.14x = 62,685,233,806.49
  5. Step 5: Solve for x
    x = 62,685,233,806.49/281,956.14
  6. Step 6: Final answer
    x = 222,322.64

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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.