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Finding the Fourth Proportional to 214,955.98, 322,436.98 and 81,843.50

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Solution

The fourth proportional to 214,955.98, 322,436.98 and 81,843.50 is: 122,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,955.98 : 322,436.98 = 81,843.50 : x
  2. Step 2: Convert to fraction form
    214,955.98/322,436.98 = 81,843.50/x
  3. Step 3: Cross multiply
    214,955.98x = 322,436.98 × 81,843.50
  4. Step 4: Simplify right side
    214,955.98x = 26,389,370,972.63
  5. Step 5: Solve for x
    x = 26,389,370,972.63/214,955.98
  6. Step 6: Final answer
    x = 122,766.40

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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.