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Finding the Fourth Proportional to 68,194.63, 102,308.04 and 21,447.50

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Solution

The fourth proportional to 68,194.63, 102,308.04 and 21,447.50 is: 32,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,194.63 : 102,308.04 = 21,447.50 : x
  2. Step 2: Convert to fraction form
    68,194.63/102,308.04 = 21,447.50/x
  3. Step 3: Cross multiply
    68,194.63x = 102,308.04 × 21,447.50
  4. Step 4: Simplify right side
    68,194.63x = 2,194,251,691.52
  5. Step 5: Solve for x
    x = 2,194,251,691.52/68,194.63
  6. Step 6: Final answer
    x = 32,176.31

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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.