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Finding the Fourth Proportional to 281,206.28, 421,809.42 and 70,860.62

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Solution

The fourth proportional to 281,206.28, 421,809.42 and 70,860.62 is: 106,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,206.28 : 421,809.42 = 70,860.62 : x
  2. Step 2: Convert to fraction form
    281,206.28/421,809.42 = 70,860.62/x
  3. Step 3: Cross multiply
    281,206.28x = 421,809.42 × 70,860.62
  4. Step 4: Simplify right side
    281,206.28x = 29,889,678,343.29
  5. Step 5: Solve for x
    x = 29,889,678,343.29/281,206.28
  6. Step 6: Final answer
    x = 106,290.93

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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.