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Finding the Fourth Proportional to 50,142, 75,213 and 13,206

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Solution

The fourth proportional to 50,142, 75,213 and 13,206 is: 19,809

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,142 : 75,213 = 13,206 : x
  2. Step 2: Convert to fraction form
    50,142/75,213 = 13,206/x
  3. Step 3: Cross multiply
    50,142x = 75,213 × 13,206
  4. Step 4: Simplify right side
    50,142x = 993,262,878
  5. Step 5: Solve for x
    x = 993,262,878/50,142
  6. Step 6: Final answer
    x = 19,809

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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.