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Finding the Fourth Proportional to 54,645.53, 75,412.71 and 31,986.63

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Solution

The fourth proportional to 54,645.53, 75,412.71 and 31,986.63 is: 44,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,645.53 : 75,412.71 = 31,986.63 : x
  2. Step 2: Convert to fraction form
    54,645.53/75,412.71 = 31,986.63/x
  3. Step 3: Cross multiply
    54,645.53x = 75,412.71 × 31,986.63
  4. Step 4: Simplify right side
    54,645.53x = 2,412,198,452.07
  5. Step 5: Solve for x
    x = 2,412,198,452.07/54,645.53
  6. Step 6: Final answer
    x = 44,142.65

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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.