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Finding the Fourth Proportional to 68,420.80, 102,538.72 and 30,934.32

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Solution

The fourth proportional to 68,420.80, 102,538.72 and 30,934.32 is: 46,359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,420.80 : 102,538.72 = 30,934.32 : x
  2. Step 2: Convert to fraction form
    68,420.80/102,538.72 = 30,934.32/x
  3. Step 3: Cross multiply
    68,420.80x = 102,538.72 × 30,934.32
  4. Step 4: Simplify right side
    68,420.80x = 3,171,965,576.87
  5. Step 5: Solve for x
    x = 3,171,965,576.87/68,420.80
  6. Step 6: Final answer
    x = 46,359.67

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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.