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Finding the Fourth Proportional to 281,314.69, 421,972.03 and 84,322.69

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Solution

The fourth proportional to 281,314.69, 421,972.03 and 84,322.69 is: 126,484.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,314.69 : 421,972.03 = 84,322.69 : x
  2. Step 2: Convert to fraction form
    281,314.69/421,972.03 = 84,322.69/x
  3. Step 3: Cross multiply
    281,314.69x = 421,972.03 × 84,322.69
  4. Step 4: Simplify right side
    281,314.69x = 35,581,815,724.83
  5. Step 5: Solve for x
    x = 35,581,815,724.83/281,314.69
  6. Step 6: Final answer
    x = 126,484.03

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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.