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Finding the Fourth Proportional to 207,675.85, 311,509.30 and 57,912.15

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Solution

The fourth proportional to 207,675.85, 311,509.30 and 57,912.15 is: 86,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,675.85 : 311,509.30 = 57,912.15 : x
  2. Step 2: Convert to fraction form
    207,675.85/311,509.30 = 57,912.15/x
  3. Step 3: Cross multiply
    207,675.85x = 311,509.30 × 57,912.15
  4. Step 4: Simplify right side
    207,675.85x = 18,040,173,308.00
  5. Step 5: Solve for x
    x = 18,040,173,308.00/207,675.85
  6. Step 6: Final answer
    x = 86,866.98

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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.