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Finding the Fourth Proportional to 69,965, 104,965.26 and 20,717

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Solution

The fourth proportional to 69,965, 104,965.26 and 20,717 is: 31,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,965 : 104,965.26 = 20,717 : x
  2. Step 2: Convert to fraction form
    69,965/104,965.26 = 20,717/x
  3. Step 3: Cross multiply
    69,965x = 104,965.26 × 20,717
  4. Step 4: Simplify right side
    69,965x = 2,174,565,291.42
  5. Step 5: Solve for x
    x = 2,174,565,291.42/69,965
  6. Step 6: Final answer
    x = 31,080.76

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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.