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Finding the Fourth Proportional to 73,176.75, 100,984.32 and 39,642.75

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Solution

The fourth proportional to 73,176.75, 100,984.32 and 39,642.75 is: 54,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,176.75 : 100,984.32 = 39,642.75 : x
  2. Step 2: Convert to fraction form
    73,176.75/100,984.32 = 39,642.75/x
  3. Step 3: Cross multiply
    73,176.75x = 100,984.32 × 39,642.75
  4. Step 4: Simplify right side
    73,176.75x = 4,003,296,151.68
  5. Step 5: Solve for x
    x = 4,003,296,151.68/73,176.75
  6. Step 6: Final answer
    x = 54,707.21

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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.