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Finding the Fourth Proportional to 208,300.60, 311,661.15 and 138,316.60

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Solution

The fourth proportional to 208,300.60, 311,661.15 and 138,316.60 is: 206,950.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,300.60 : 311,661.15 = 138,316.60 : x
  2. Step 2: Convert to fraction form
    208,300.60/311,661.15 = 138,316.60/x
  3. Step 3: Cross multiply
    208,300.60x = 311,661.15 × 138,316.60
  4. Step 4: Simplify right side
    208,300.60x = 43,107,910,620.09
  5. Step 5: Solve for x
    x = 43,107,910,620.09/208,300.60
  6. Step 6: Final answer
    x = 206,950.49

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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.