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Finding the Fourth Proportional to 69,402, 104,105.88 and 20,154

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Solution

The fourth proportional to 69,402, 104,105.88 and 20,154 is: 30,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,402 : 104,105.88 = 20,154 : x
  2. Step 2: Convert to fraction form
    69,402/104,105.88 = 20,154/x
  3. Step 3: Cross multiply
    69,402x = 104,105.88 × 20,154
  4. Step 4: Simplify right side
    69,402x = 2,098,149,905.52
  5. Step 5: Solve for x
    x = 2,098,149,905.52/69,402
  6. Step 6: Final answer
    x = 30,231.84

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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.