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Finding the Fourth Proportional to 36,023, 49,717.50 and 21,119

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Solution

The fourth proportional to 36,023, 49,717.50 and 21,119 is: 29,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,023 : 49,717.50 = 21,119 : x
  2. Step 2: Convert to fraction form
    36,023/49,717.50 = 21,119/x
  3. Step 3: Cross multiply
    36,023x = 49,717.50 × 21,119
  4. Step 4: Simplify right side
    36,023x = 1,049,983,882.50
  5. Step 5: Solve for x
    x = 1,049,983,882.50/36,023
  6. Step 6: Final answer
    x = 29,147.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.