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Finding the Fourth Proportional to 70,940.16, 106,435.68 and 30,396.64

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Solution

The fourth proportional to 70,940.16, 106,435.68 and 30,396.64 is: 45,605.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,940.16 : 106,435.68 = 30,396.64 : x
  2. Step 2: Convert to fraction form
    70,940.16/106,435.68 = 30,396.64/x
  3. Step 3: Cross multiply
    70,940.16x = 106,435.68 × 30,396.64
  4. Step 4: Simplify right side
    70,940.16x = 3,235,287,048.12
  5. Step 5: Solve for x
    x = 3,235,287,048.12/70,940.16
  6. Step 6: Final answer
    x = 45,605.86

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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.