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Finding the Fourth Proportional to 207,852.70, 311,811.72 and 67,578.52

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Solution

The fourth proportional to 207,852.70, 311,811.72 and 67,578.52 is: 101,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,852.70 : 311,811.72 = 67,578.52 : x
  2. Step 2: Convert to fraction form
    207,852.70/311,811.72 = 67,578.52/x
  3. Step 3: Cross multiply
    207,852.70x = 311,811.72 × 67,578.52
  4. Step 4: Simplify right side
    207,852.70x = 21,071,774,556.25
  5. Step 5: Solve for x
    x = 21,071,774,556.25/207,852.70
  6. Step 6: Final answer
    x = 101,378.40

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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.