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Finding the Fourth Proportional to 281,956.64, 389,120.76 and 161,095.34

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Solution

The fourth proportional to 281,956.64, 389,120.76 and 161,095.34 is: 222,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,956.64 : 389,120.76 = 161,095.34 : x
  2. Step 2: Convert to fraction form
    281,956.64/389,120.76 = 161,095.34/x
  3. Step 3: Cross multiply
    281,956.64x = 389,120.76 × 161,095.34
  4. Step 4: Simplify right side
    281,956.64x = 62,685,539,187.65
  5. Step 5: Solve for x
    x = 62,685,539,187.65/281,956.64
  6. Step 6: Final answer
    x = 222,323.33

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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.