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Finding the Fourth Proportional to 72,770.24, 109,197.24 and 30,647

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Solution

The fourth proportional to 72,770.24, 109,197.24 and 30,647 is: 45,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,770.24 : 109,197.24 = 30,647 : x
  2. Step 2: Convert to fraction form
    72,770.24/109,197.24 = 30,647/x
  3. Step 3: Cross multiply
    72,770.24x = 109,197.24 × 30,647
  4. Step 4: Simplify right side
    72,770.24x = 3,346,567,814.28
  5. Step 5: Solve for x
    x = 3,346,567,814.28/72,770.24
  6. Step 6: Final answer
    x = 45,988.14

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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.