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Finding the Fourth Proportional to 105,846, 158,769 and 31,974

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Solution

The fourth proportional to 105,846, 158,769 and 31,974 is: 47,961

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,846 : 158,769 = 31,974 : x
  2. Step 2: Convert to fraction form
    105,846/158,769 = 31,974/x
  3. Step 3: Cross multiply
    105,846x = 158,769 × 31,974
  4. Step 4: Simplify right side
    105,846x = 5,076,480,006
  5. Step 5: Solve for x
    x = 5,076,480,006/105,846
  6. Step 6: Final answer
    x = 47,961

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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.