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Finding the Fourth Proportional to 281,293, 421,939.50 and 84,301

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Solution

The fourth proportional to 281,293, 421,939.50 and 84,301 is: 126,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,293 : 421,939.50 = 84,301 : x
  2. Step 2: Convert to fraction form
    281,293/421,939.50 = 84,301/x
  3. Step 3: Cross multiply
    281,293x = 421,939.50 × 84,301
  4. Step 4: Simplify right side
    281,293x = 35,569,921,789.50
  5. Step 5: Solve for x
    x = 35,569,921,789.50/281,293
  6. Step 6: Final answer
    x = 126,451.50

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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.