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Finding the Fourth Proportional to 68,538, 102,845.88 and 31,602

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Solution

The fourth proportional to 68,538, 102,845.88 and 31,602 is: 47,420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,538 : 102,845.88 = 31,602 : x
  2. Step 2: Convert to fraction form
    68,538/102,845.88 = 31,602/x
  3. Step 3: Cross multiply
    68,538x = 102,845.88 × 31,602
  4. Step 4: Simplify right side
    68,538x = 3,250,135,499.76
  5. Step 5: Solve for x
    x = 3,250,135,499.76/68,538
  6. Step 6: Final answer
    x = 47,420.93

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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.