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Finding the Fourth Proportional to 68,123.88, 102,184.63 and 30,657.44

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Solution

The fourth proportional to 68,123.88, 102,184.63 and 30,657.44 is: 45,985.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,123.88 : 102,184.63 = 30,657.44 : x
  2. Step 2: Convert to fraction form
    68,123.88/102,184.63 = 30,657.44/x
  3. Step 3: Cross multiply
    68,123.88x = 102,184.63 × 30,657.44
  4. Step 4: Simplify right side
    68,123.88x = 3,132,719,163.15
  5. Step 5: Solve for x
    x = 3,132,719,163.15/68,123.88
  6. Step 6: Final answer
    x = 45,985.62

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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.