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Finding the Fourth Proportional to 207,716.80, 311,229.60 and 102,308.80

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Solution

The fourth proportional to 207,716.80, 311,229.60 and 102,308.80 is: 153,292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,716.80 : 311,229.60 = 102,308.80 : x
  2. Step 2: Convert to fraction form
    207,716.80/311,229.60 = 102,308.80/x
  3. Step 3: Cross multiply
    207,716.80x = 311,229.60 × 102,308.80
  4. Step 4: Simplify right side
    207,716.80x = 31,841,526,900.48
  5. Step 5: Solve for x
    x = 31,841,526,900.48/207,716.80
  6. Step 6: Final answer
    x = 153,292.98

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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.