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Finding the Fourth Proportional to 77,227.56, 115,842.51 and 30,480

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Solution

The fourth proportional to 77,227.56, 115,842.51 and 30,480 is: 45,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,227.56 : 115,842.51 = 30,480 : x
  2. Step 2: Convert to fraction form
    77,227.56/115,842.51 = 30,480/x
  3. Step 3: Cross multiply
    77,227.56x = 115,842.51 × 30,480
  4. Step 4: Simplify right side
    77,227.56x = 3,530,879,704.80
  5. Step 5: Solve for x
    x = 3,530,879,704.80/77,227.56
  6. Step 6: Final answer
    x = 45,720.46

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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.