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Finding the Fourth Proportional to 54,632.80, 81,891.60 and 31,208.80

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Solution

The fourth proportional to 54,632.80, 81,891.60 and 31,208.80 is: 46,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,632.80 : 81,891.60 = 31,208.80 : x
  2. Step 2: Convert to fraction form
    54,632.80/81,891.60 = 31,208.80/x
  3. Step 3: Cross multiply
    54,632.80x = 81,891.60 × 31,208.80
  4. Step 4: Simplify right side
    54,632.80x = 2,555,738,566.08
  5. Step 5: Solve for x
    x = 2,555,738,566.08/54,632.80
  6. Step 6: Final answer
    x = 46,780.30

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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.