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Finding the Fourth Proportional to 281,313, 421,969.50 and 84,321

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Solution

The fourth proportional to 281,313, 421,969.50 and 84,321 is: 126,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,313 : 421,969.50 = 84,321 : x
  2. Step 2: Convert to fraction form
    281,313/421,969.50 = 84,321/x
  3. Step 3: Cross multiply
    281,313x = 421,969.50 × 84,321
  4. Step 4: Simplify right side
    281,313x = 35,580,890,209.50
  5. Step 5: Solve for x
    x = 35,580,890,209.50/281,313
  6. Step 6: Final answer
    x = 126,481.50

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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.