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Finding the Fourth Proportional to 50,642.99, 75,771.74 and 30,578.63

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Solution

The fourth proportional to 50,642.99, 75,771.74 and 30,578.63 is: 45,751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,642.99 : 75,771.74 = 30,578.63 : x
  2. Step 2: Convert to fraction form
    50,642.99/75,771.74 = 30,578.63/x
  3. Step 3: Cross multiply
    50,642.99x = 75,771.74 × 30,578.63
  4. Step 4: Simplify right side
    50,642.99x = 2,316,995,470.16
  5. Step 5: Solve for x
    x = 2,316,995,470.16/50,642.99
  6. Step 6: Final answer
    x = 45,751.56

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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.