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Finding the Fourth Proportional to 36,145.98, 49,882.32 and 20,230.20

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Solution

The fourth proportional to 36,145.98, 49,882.32 and 20,230.20 is: 27,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,145.98 : 49,882.32 = 20,230.20 : x
  2. Step 2: Convert to fraction form
    36,145.98/49,882.32 = 20,230.20/x
  3. Step 3: Cross multiply
    36,145.98x = 49,882.32 × 20,230.20
  4. Step 4: Simplify right side
    36,145.98x = 1,009,129,310.06
  5. Step 5: Solve for x
    x = 1,009,129,310.06/36,145.98
  6. Step 6: Final answer
    x = 27,918.16

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1.5x scale

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.