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Finding the Fourth Proportional to 281,114.91, 421,556.35 and 107,980.48

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Solution

The fourth proportional to 281,114.91, 421,556.35 and 107,980.48 is: 161,926.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,114.91 : 421,556.35 = 107,980.48 : x
  2. Step 2: Convert to fraction form
    281,114.91/421,556.35 = 107,980.48/x
  3. Step 3: Cross multiply
    281,114.91x = 421,556.35 × 107,980.48
  4. Step 4: Simplify right side
    281,114.91x = 45,519,857,020.05
  5. Step 5: Solve for x
    x = 45,519,857,020.05/281,114.91
  6. Step 6: Final answer
    x = 161,926.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.