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Finding the Fourth Proportional to 73,167.50, 100,971.16 and 39,633.50

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Solution

The fourth proportional to 73,167.50, 100,971.16 and 39,633.50 is: 54,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,167.50 : 100,971.16 = 39,633.50 : x
  2. Step 2: Convert to fraction form
    73,167.50/100,971.16 = 39,633.50/x
  3. Step 3: Cross multiply
    73,167.50x = 100,971.16 × 39,633.50
  4. Step 4: Simplify right side
    73,167.50x = 4,001,840,469.86
  5. Step 5: Solve for x
    x = 4,001,840,469.86/73,167.50
  6. Step 6: Final answer
    x = 54,694.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.