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Finding the Fourth Proportional to 207,977.28, 312,021.24 and 65,825.28

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Solution

The fourth proportional to 207,977.28, 312,021.24 and 65,825.28 is: 98,755.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,977.28 : 312,021.24 = 65,825.28 : x
  2. Step 2: Convert to fraction form
    207,977.28/312,021.24 = 65,825.28/x
  3. Step 3: Cross multiply
    207,977.28x = 312,021.24 × 65,825.28
  4. Step 4: Simplify right side
    207,977.28x = 20,538,885,488.95
  5. Step 5: Solve for x
    x = 20,538,885,488.95/207,977.28
  6. Step 6: Final answer
    x = 98,755.43

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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.