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Finding the Fourth Proportional to 54,782.94, 75,609.74 and 31,809.20

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Solution

The fourth proportional to 54,782.94, 75,609.74 and 31,809.20 is: 43,902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,782.94 : 75,609.74 = 31,809.20 : x
  2. Step 2: Convert to fraction form
    54,782.94/75,609.74 = 31,809.20/x
  3. Step 3: Cross multiply
    54,782.94x = 75,609.74 × 31,809.20
  4. Step 4: Simplify right side
    54,782.94x = 2,405,084,804.51
  5. Step 5: Solve for x
    x = 2,405,084,804.51/54,782.94
  6. Step 6: Final answer
    x = 43,902.08

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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.