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Finding the Fourth Proportional to 54,368.88, 81,560.74 and 31,583.44

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Solution

The fourth proportional to 54,368.88, 81,560.74 and 31,583.44 is: 47,379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,368.88 : 81,560.74 = 31,583.44 : x
  2. Step 2: Convert to fraction form
    54,368.88/81,560.74 = 31,583.44/x
  3. Step 3: Cross multiply
    54,368.88x = 81,560.74 × 31,583.44
  4. Step 4: Simplify right side
    54,368.88x = 2,575,968,376.33
  5. Step 5: Solve for x
    x = 2,575,968,376.33/54,368.88
  6. Step 6: Final answer
    x = 47,379.46

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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.