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Finding the Fourth Proportional to 72,705.70, 109,064.76 and 20,115.10

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Solution

The fourth proportional to 72,705.70, 109,064.76 and 20,115.10 is: 30,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,705.70 : 109,064.76 = 20,115.10 : x
  2. Step 2: Convert to fraction form
    72,705.70/109,064.76 = 20,115.10/x
  3. Step 3: Cross multiply
    72,705.70x = 109,064.76 × 20,115.10
  4. Step 4: Simplify right side
    72,705.70x = 2,193,848,553.88
  5. Step 5: Solve for x
    x = 2,193,848,553.88/72,705.70
  6. Step 6: Final answer
    x = 30,174.37

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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.