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Finding the Fourth Proportional to 69,138, 103,707 and 19,890

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Solution

The fourth proportional to 69,138, 103,707 and 19,890 is: 29,835

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,138 : 103,707 = 19,890 : x
  2. Step 2: Convert to fraction form
    69,138/103,707 = 19,890/x
  3. Step 3: Cross multiply
    69,138x = 103,707 × 19,890
  4. Step 4: Simplify right side
    69,138x = 2,062,732,230
  5. Step 5: Solve for x
    x = 2,062,732,230/69,138
  6. Step 6: Final answer
    x = 29,835

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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.