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Finding the Fourth Proportional to 45,452, 68,219.36 and 23,280.64

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Solution

The fourth proportional to 45,452, 68,219.36 and 23,280.64 is: 34,942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,452 : 68,219.36 = 23,280.64 : x
  2. Step 2: Convert to fraction form
    45,452/68,219.36 = 23,280.64/x
  3. Step 3: Cross multiply
    45,452x = 68,219.36 × 23,280.64
  4. Step 4: Simplify right side
    45,452x = 1,588,190,361.19
  5. Step 5: Solve for x
    x = 1,588,190,361.19/45,452
  6. Step 6: Final answer
    x = 34,942.14

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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.