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Finding the Fourth Proportional to 208,245.68, 312,399.05 and 66,043.53

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Solution

The fourth proportional to 208,245.68, 312,399.05 and 66,043.53 is: 99,074.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,245.68 : 312,399.05 = 66,043.53 : x
  2. Step 2: Convert to fraction form
    208,245.68/312,399.05 = 66,043.53/x
  3. Step 3: Cross multiply
    208,245.68x = 312,399.05 × 66,043.53
  4. Step 4: Simplify right side
    208,245.68x = 20,631,935,379.05
  5. Step 5: Solve for x
    x = 20,631,935,379.05/208,245.68
  6. Step 6: Final answer
    x = 99,074.97

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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.