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Finding the Fourth Proportional to 208,029.96, 312,091.74 and 65,883.87

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Solution

The fourth proportional to 208,029.96, 312,091.74 and 65,883.87 is: 98,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,029.96 : 312,091.74 = 65,883.87 : x
  2. Step 2: Convert to fraction form
    208,029.96/312,091.74 = 65,883.87/x
  3. Step 3: Cross multiply
    208,029.96x = 312,091.74 × 65,883.87
  4. Step 4: Simplify right side
    208,029.96x = 20,561,811,626.23
  5. Step 5: Solve for x
    x = 20,561,811,626.23/208,029.96
  6. Step 6: Final answer
    x = 98,840.63

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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.