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Finding the Fourth Proportional to 70,772, 106,157.52 and 18,181.52

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Solution

The fourth proportional to 70,772, 106,157.52 and 18,181.52 is: 27,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,772 : 106,157.52 = 18,181.52 : x
  2. Step 2: Convert to fraction form
    70,772/106,157.52 = 18,181.52/x
  3. Step 3: Cross multiply
    70,772x = 106,157.52 × 18,181.52
  4. Step 4: Simplify right side
    70,772x = 1,930,105,073.03
  5. Step 5: Solve for x
    x = 1,930,105,073.03/70,772
  6. Step 6: Final answer
    x = 27,272.16

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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.