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Finding the Fourth Proportional to 36,044, 49,740.16 and 20,128.68

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Solution

The fourth proportional to 36,044, 49,740.16 and 20,128.68 is: 27,777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,044 : 49,740.16 = 20,128.68 : x
  2. Step 2: Convert to fraction form
    36,044/49,740.16 = 20,128.68/x
  3. Step 3: Cross multiply
    36,044x = 49,740.16 × 20,128.68
  4. Step 4: Simplify right side
    36,044x = 1,001,203,763.79
  5. Step 5: Solve for x
    x = 1,001,203,763.79/36,044
  6. Step 6: Final answer
    x = 27,777.27

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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.