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Finding the Fourth Proportional to 281,020.81, 387,631.43 and 196,106.89

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Solution

The fourth proportional to 281,020.81, 387,631.43 and 196,106.89 is: 270,503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,020.81 : 387,631.43 = 196,106.89 : x
  2. Step 2: Convert to fraction form
    281,020.81/387,631.43 = 196,106.89/x
  3. Step 3: Cross multiply
    281,020.81x = 387,631.43 × 196,106.89
  4. Step 4: Simplify right side
    281,020.81x = 76,017,193,223.02
  5. Step 5: Solve for x
    x = 76,017,193,223.02/281,020.81
  6. Step 6: Final answer
    x = 270,503.79

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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.