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Finding the Fourth Proportional to 281,119.40, 421,824.90 and 123,363.80

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Solution

The fourth proportional to 281,119.40, 421,824.90 and 123,363.80 is: 185,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,119.40 : 421,824.90 = 123,363.80 : x
  2. Step 2: Convert to fraction form
    281,119.40/421,824.90 = 123,363.80/x
  3. Step 3: Cross multiply
    281,119.40x = 421,824.90 × 123,363.80
  4. Step 4: Simplify right side
    281,119.40x = 52,037,922,598.62
  5. Step 5: Solve for x
    x = 52,037,922,598.62/281,119.40
  6. Step 6: Final answer
    x = 185,109.68

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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.