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Finding the Fourth Proportional to 180,813, 271,219.52 and 70,005

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Solution

The fourth proportional to 180,813, 271,219.52 and 70,005 is: 105,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,813 : 271,219.52 = 70,005 : x
  2. Step 2: Convert to fraction form
    180,813/271,219.52 = 70,005/x
  3. Step 3: Cross multiply
    180,813x = 271,219.52 × 70,005
  4. Step 4: Simplify right side
    180,813x = 18,986,722,497.60
  5. Step 5: Solve for x
    x = 18,986,722,497.60/180,813
  6. Step 6: Final answer
    x = 105,007.51

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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.