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Finding the Fourth Proportional to 69,395.50, 104,096.14 and 20,147.50

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Solution

The fourth proportional to 69,395.50, 104,096.14 and 20,147.50 is: 30,222.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,395.50 : 104,096.14 = 20,147.50 : x
  2. Step 2: Convert to fraction form
    69,395.50/104,096.14 = 20,147.50/x
  3. Step 3: Cross multiply
    69,395.50x = 104,096.14 × 20,147.50
  4. Step 4: Simplify right side
    69,395.50x = 2,097,276,980.65
  5. Step 5: Solve for x
    x = 2,097,276,980.65/69,395.50
  6. Step 6: Final answer
    x = 30,222.09

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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.