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Finding the Fourth Proportional to 51,800.68, 77,648.73 and 20,191

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Solution

The fourth proportional to 51,800.68, 77,648.73 and 20,191 is: 30,266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,800.68 : 77,648.73 = 20,191 : x
  2. Step 2: Convert to fraction form
    51,800.68/77,648.73 = 20,191/x
  3. Step 3: Cross multiply
    51,800.68x = 77,648.73 × 20,191
  4. Step 4: Simplify right side
    51,800.68x = 1,567,805,507.43
  5. Step 5: Solve for x
    x = 1,567,805,507.43/51,800.68
  6. Step 6: Final answer
    x = 30,266.12

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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.