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Finding the Fourth Proportional to 33,139.48, 49,714.08 and 20,649.28

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Solution

The fourth proportional to 33,139.48, 49,714.08 and 20,649.28 is: 30,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,139.48 : 49,714.08 = 20,649.28 : x
  2. Step 2: Convert to fraction form
    33,139.48/49,714.08 = 20,649.28/x
  3. Step 3: Cross multiply
    33,139.48x = 49,714.08 × 20,649.28
  4. Step 4: Simplify right side
    33,139.48x = 1,026,559,957.86
  5. Step 5: Solve for x
    x = 1,026,559,957.86/33,139.48
  6. Step 6: Final answer
    x = 30,976.95

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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.