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Finding the Fourth Proportional to 57,087.77, 85,639.85 and 17,647.96

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Solution

The fourth proportional to 57,087.77, 85,639.85 and 17,647.96 is: 26,474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,087.77 : 85,639.85 = 17,647.96 : x
  2. Step 2: Convert to fraction form
    57,087.77/85,639.85 = 17,647.96/x
  3. Step 3: Cross multiply
    57,087.77x = 85,639.85 × 17,647.96
  4. Step 4: Simplify right side
    57,087.77x = 1,511,368,219.01
  5. Step 5: Solve for x
    x = 1,511,368,219.01/57,087.77
  6. Step 6: Final answer
    x = 26,474.47

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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.