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Finding the Fourth Proportional to 281,055.74, 421,589.10 and 103,471.34

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Solution

The fourth proportional to 281,055.74, 421,589.10 and 103,471.34 is: 155,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,055.74 : 421,589.10 = 103,471.34 : x
  2. Step 2: Convert to fraction form
    281,055.74/421,589.10 = 103,471.34/x
  3. Step 3: Cross multiply
    281,055.74x = 421,589.10 × 103,471.34
  4. Step 4: Simplify right side
    281,055.74x = 43,622,389,106.39
  5. Step 5: Solve for x
    x = 43,622,389,106.39/281,055.74
  6. Step 6: Final answer
    x = 155,209.03

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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.