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Finding the Fourth Proportional to 36,139.84, 49,866.42 and 20,824

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Solution

The fourth proportional to 36,139.84, 49,866.42 and 20,824 is: 28,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,139.84 : 49,866.42 = 20,824 : x
  2. Step 2: Convert to fraction form
    36,139.84/49,866.42 = 20,824/x
  3. Step 3: Cross multiply
    36,139.84x = 49,866.42 × 20,824
  4. Step 4: Simplify right side
    36,139.84x = 1,038,418,330.08
  5. Step 5: Solve for x
    x = 1,038,418,330.08/36,139.84
  6. Step 6: Final answer
    x = 28,733.34

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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.