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Finding the Fourth Proportional to 75,121.92, 103,669.84 and 41,131.84

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Solution

The fourth proportional to 75,121.92, 103,669.84 and 41,131.84 is: 56,762.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,121.92 : 103,669.84 = 41,131.84 : x
  2. Step 2: Convert to fraction form
    75,121.92/103,669.84 = 41,131.84/x
  3. Step 3: Cross multiply
    75,121.92x = 103,669.84 × 41,131.84
  4. Step 4: Simplify right side
    75,121.92x = 4,264,131,271.71
  5. Step 5: Solve for x
    x = 4,264,131,271.71/75,121.92
  6. Step 6: Final answer
    x = 56,762.81

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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.