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Finding the Fourth Proportional to 48,225, 72,317.22 and 18,234.20

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Solution

The fourth proportional to 48,225, 72,317.22 and 18,234.20 is: 27,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,225 : 72,317.22 = 18,234.20 : x
  2. Step 2: Convert to fraction form
    48,225/72,317.22 = 18,234.20/x
  3. Step 3: Cross multiply
    48,225x = 72,317.22 × 18,234.20
  4. Step 4: Simplify right side
    48,225x = 1,318,646,291.34
  5. Step 5: Solve for x
    x = 1,318,646,291.34/48,225
  6. Step 6: Final answer
    x = 27,343.62

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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.