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Finding the Fourth Proportional to 281,106.65, 421,659.99 and 81,427.11

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Solution

The fourth proportional to 281,106.65, 421,659.99 and 81,427.11 is: 122,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,106.65 : 421,659.99 = 81,427.11 : x
  2. Step 2: Convert to fraction form
    281,106.65/421,659.99 = 81,427.11/x
  3. Step 3: Cross multiply
    281,106.65x = 421,659.99 × 81,427.11
  4. Step 4: Simplify right side
    281,106.65x = 34,334,554,388.33
  5. Step 5: Solve for x
    x = 34,334,554,388.33/281,106.65
  6. Step 6: Final answer
    x = 122,140.67

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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.