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Finding the Fourth Proportional to 129,644, 194,466 and 31,148

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Solution

The fourth proportional to 129,644, 194,466 and 31,148 is: 46,722

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,644 : 194,466 = 31,148 : x
  2. Step 2: Convert to fraction form
    129,644/194,466 = 31,148/x
  3. Step 3: Cross multiply
    129,644x = 194,466 × 31,148
  4. Step 4: Simplify right side
    129,644x = 6,057,226,968
  5. Step 5: Solve for x
    x = 6,057,226,968/129,644
  6. Step 6: Final answer
    x = 46,722

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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.