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Finding the Fourth Proportional to 50,805, 76,222.08 and 19,649.16

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Solution

The fourth proportional to 50,805, 76,222.08 and 19,649.16 is: 29,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,805 : 76,222.08 = 19,649.16 : x
  2. Step 2: Convert to fraction form
    50,805/76,222.08 = 19,649.16/x
  3. Step 3: Cross multiply
    50,805x = 76,222.08 × 19,649.16
  4. Step 4: Simplify right side
    50,805x = 1,497,699,845.45
  5. Step 5: Solve for x
    x = 1,497,699,845.45/50,805
  6. Step 6: Final answer
    x = 29,479.38

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1.5x scale

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.