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Finding the Fourth Proportional to 43,785, 65,663.64 and 14,195.94

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Solution

The fourth proportional to 43,785, 65,663.64 and 14,195.94 is: 21,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,785 : 65,663.64 = 14,195.94 : x
  2. Step 2: Convert to fraction form
    43,785/65,663.64 = 14,195.94/x
  3. Step 3: Cross multiply
    43,785x = 65,663.64 × 14,195.94
  4. Step 4: Simplify right side
    43,785x = 932,157,093.62
  5. Step 5: Solve for x
    x = 932,157,093.62/43,785
  6. Step 6: Final answer
    x = 21,289.42

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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.