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Finding the Fourth Proportional to 50,154, 75,235.56 and 13,218

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Solution

The fourth proportional to 50,154, 75,235.56 and 13,218 is: 19,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,154 : 75,235.56 = 13,218 : x
  2. Step 2: Convert to fraction form
    50,154/75,235.56 = 13,218/x
  3. Step 3: Cross multiply
    50,154x = 75,235.56 × 13,218
  4. Step 4: Simplify right side
    50,154x = 994,463,632.08
  5. Step 5: Solve for x
    x = 994,463,632.08/50,154
  6. Step 6: Final answer
    x = 19,828.20

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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.