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Finding the Fourth Proportional to 69,189, 103,709.70 and 29,749.20

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Solution

The fourth proportional to 69,189, 103,709.70 and 29,749.20 is: 44,592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,189 : 103,709.70 = 29,749.20 : x
  2. Step 2: Convert to fraction form
    69,189/103,709.70 = 29,749.20/x
  3. Step 3: Cross multiply
    69,189x = 103,709.70 × 29,749.20
  4. Step 4: Simplify right side
    69,189x = 3,085,280,607.24
  5. Step 5: Solve for x
    x = 3,085,280,607.24/69,189
  6. Step 6: Final answer
    x = 44,592.07

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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.