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Finding the Fourth Proportional to 207,467.40, 311,354.70 and 82,897.80

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Solution

The fourth proportional to 207,467.40, 311,354.70 and 82,897.80 is: 124,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,467.40 : 311,354.70 = 82,897.80 : x
  2. Step 2: Convert to fraction form
    207,467.40/311,354.70 = 82,897.80/x
  3. Step 3: Cross multiply
    207,467.40x = 311,354.70 × 82,897.80
  4. Step 4: Simplify right side
    207,467.40x = 25,810,619,649.66
  5. Step 5: Solve for x
    x = 25,810,619,649.66/207,467.40
  6. Step 6: Final answer
    x = 124,408.07

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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.