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Finding the Fourth Proportional to 68,178.60, 102,273.66 and 21,444.84

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Solution

The fourth proportional to 68,178.60, 102,273.66 and 21,444.84 is: 32,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,178.60 : 102,273.66 = 21,444.84 : x
  2. Step 2: Convert to fraction form
    68,178.60/102,273.66 = 21,444.84/x
  3. Step 3: Cross multiply
    68,178.60x = 102,273.66 × 21,444.84
  4. Step 4: Simplify right side
    68,178.60x = 2,193,242,274.91
  5. Step 5: Solve for x
    x = 2,193,242,274.91/68,178.60
  6. Step 6: Final answer
    x = 32,169.07

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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.