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Finding the Fourth Proportional to 207,419, 311,128.50 and 59,675

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Solution

The fourth proportional to 207,419, 311,128.50 and 59,675 is: 89,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,419 : 311,128.50 = 59,675 : x
  2. Step 2: Convert to fraction form
    207,419/311,128.50 = 59,675/x
  3. Step 3: Cross multiply
    207,419x = 311,128.50 × 59,675
  4. Step 4: Simplify right side
    207,419x = 18,566,593,237.50
  5. Step 5: Solve for x
    x = 18,566,593,237.50/207,419
  6. Step 6: Final answer
    x = 89,512.50

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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.