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Finding the Fourth Proportional to 69,250.82, 103,794.21 and 31,779.30

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Solution

The fourth proportional to 69,250.82, 103,794.21 and 31,779.30 is: 47,631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,250.82 : 103,794.21 = 31,779.30 : x
  2. Step 2: Convert to fraction form
    69,250.82/103,794.21 = 31,779.30/x
  3. Step 3: Cross multiply
    69,250.82x = 103,794.21 × 31,779.30
  4. Step 4: Simplify right side
    69,250.82x = 3,298,507,727.08
  5. Step 5: Solve for x
    x = 3,298,507,727.08/69,250.82
  6. Step 6: Final answer
    x = 47,631.32

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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.