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Finding the Fourth Proportional to 69,400, 104,102.88 and 20,152

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Solution

The fourth proportional to 69,400, 104,102.88 and 20,152 is: 30,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,400 : 104,102.88 = 20,152 : x
  2. Step 2: Convert to fraction form
    69,400/104,102.88 = 20,152/x
  3. Step 3: Cross multiply
    69,400x = 104,102.88 × 20,152
  4. Step 4: Simplify right side
    69,400x = 2,097,881,237.76
  5. Step 5: Solve for x
    x = 2,097,881,237.76/69,400
  6. Step 6: Final answer
    x = 30,228.84

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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.