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Finding the Fourth Proportional to 104,994, 157,491 and 31,122

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Solution

The fourth proportional to 104,994, 157,491 and 31,122 is: 46,683

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,994 : 157,491 = 31,122 : x
  2. Step 2: Convert to fraction form
    104,994/157,491 = 31,122/x
  3. Step 3: Cross multiply
    104,994x = 157,491 × 31,122
  4. Step 4: Simplify right side
    104,994x = 4,901,434,902
  5. Step 5: Solve for x
    x = 4,901,434,902/104,994
  6. Step 6: Final answer
    x = 46,683

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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.