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Finding the Fourth Proportional to 72,980.47, 100,704.49 and 41,147.47

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Solution

The fourth proportional to 72,980.47, 100,704.49 and 41,147.47 is: 56,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,980.47 : 100,704.49 = 41,147.47 : x
  2. Step 2: Convert to fraction form
    72,980.47/100,704.49 = 41,147.47/x
  3. Step 3: Cross multiply
    72,980.47x = 100,704.49 × 41,147.47
  4. Step 4: Simplify right side
    72,980.47x = 4,143,734,981.14
  5. Step 5: Solve for x
    x = 4,143,734,981.14/72,980.47
  6. Step 6: Final answer
    x = 56,778.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.