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Finding the Fourth Proportional to 72,967.19, 109,396.08 and 30,896.60

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Solution

The fourth proportional to 72,967.19, 109,396.08 and 30,896.60 is: 46,321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,967.19 : 109,396.08 = 30,896.60 : x
  2. Step 2: Convert to fraction form
    72,967.19/109,396.08 = 30,896.60/x
  3. Step 3: Cross multiply
    72,967.19x = 109,396.08 × 30,896.60
  4. Step 4: Simplify right side
    72,967.19x = 3,379,966,378.35
  5. Step 5: Solve for x
    x = 3,379,966,378.35/72,967.19
  6. Step 6: Final answer
    x = 46,321.73

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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.