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Finding the Fourth Proportional to 70,092, 105,138 and 20,844

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Solution

The fourth proportional to 70,092, 105,138 and 20,844 is: 31,266

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,092 : 105,138 = 20,844 : x
  2. Step 2: Convert to fraction form
    70,092/105,138 = 20,844/x
  3. Step 3: Cross multiply
    70,092x = 105,138 × 20,844
  4. Step 4: Simplify right side
    70,092x = 2,191,496,472
  5. Step 5: Solve for x
    x = 2,191,496,472/70,092
  6. Step 6: Final answer
    x = 31,266

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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.