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Finding the Fourth Proportional to 68,178.76, 102,132 and 54,162.52

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Solution

The fourth proportional to 68,178.76, 102,132 and 54,162.52 is: 81,135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,178.76 : 102,132 = 54,162.52 : x
  2. Step 2: Convert to fraction form
    68,178.76/102,132 = 54,162.52/x
  3. Step 3: Cross multiply
    68,178.76x = 102,132 × 54,162.52
  4. Step 4: Simplify right side
    68,178.76x = 5,531,726,492.64
  5. Step 5: Solve for x
    x = 5,531,726,492.64/68,178.76
  6. Step 6: Final answer
    x = 81,135.63

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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.