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Finding the Fourth Proportional to 54,509.72, 75,220.98 and 31,850.80

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Solution

The fourth proportional to 54,509.72, 75,220.98 and 31,850.80 is: 43,952.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,509.72 : 75,220.98 = 31,850.80 : x
  2. Step 2: Convert to fraction form
    54,509.72/75,220.98 = 31,850.80/x
  3. Step 3: Cross multiply
    54,509.72x = 75,220.98 × 31,850.80
  4. Step 4: Simplify right side
    54,509.72x = 2,395,848,389.78
  5. Step 5: Solve for x
    x = 2,395,848,389.78/54,509.72
  6. Step 6: Final answer
    x = 43,952.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.