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Finding the Fourth Proportional to 72,745.72, 109,145.24 and 30,636.40

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Solution

The fourth proportional to 72,745.72, 109,145.24 and 30,636.40 is: 45,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,745.72 : 109,145.24 = 30,636.40 : x
  2. Step 2: Convert to fraction form
    72,745.72/109,145.24 = 30,636.40/x
  3. Step 3: Cross multiply
    72,745.72x = 109,145.24 × 30,636.40
  4. Step 4: Simplify right side
    72,745.72x = 3,343,817,350.42
  5. Step 5: Solve for x
    x = 3,343,817,350.42/72,745.72
  6. Step 6: Final answer
    x = 45,965.83

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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.