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Finding the Fourth Proportional to 50,256, 75,389.16 and 13,320

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Solution

The fourth proportional to 50,256, 75,389.16 and 13,320 is: 19,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,256 : 75,389.16 = 13,320 : x
  2. Step 2: Convert to fraction form
    50,256/75,389.16 = 13,320/x
  3. Step 3: Cross multiply
    50,256x = 75,389.16 × 13,320
  4. Step 4: Simplify right side
    50,256x = 1,004,183,611.20
  5. Step 5: Solve for x
    x = 1,004,183,611.20/50,256
  6. Step 6: Final answer
    x = 19,981.37

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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.