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Finding the Fourth Proportional to 207,809.93, 311,747.70 and 67,535.75

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Solution

The fourth proportional to 207,809.93, 311,747.70 and 67,535.75 is: 101,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,809.93 : 311,747.70 = 67,535.75 : x
  2. Step 2: Convert to fraction form
    207,809.93/311,747.70 = 67,535.75/x
  3. Step 3: Cross multiply
    207,809.93x = 311,747.70 × 67,535.75
  4. Step 4: Simplify right side
    207,809.93x = 21,054,114,730.28
  5. Step 5: Solve for x
    x = 21,054,114,730.28/207,809.93
  6. Step 6: Final answer
    x = 101,314.29

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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.