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Finding the Fourth Proportional to 72,469.48, 100,013.01 and 40,214.43

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Solution

The fourth proportional to 72,469.48, 100,013.01 and 40,214.43 is: 55,498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,469.48 : 100,013.01 = 40,214.43 : x
  2. Step 2: Convert to fraction form
    72,469.48/100,013.01 = 40,214.43/x
  3. Step 3: Cross multiply
    72,469.48x = 100,013.01 × 40,214.43
  4. Step 4: Simplify right side
    72,469.48x = 4,021,966,189.73
  5. Step 5: Solve for x
    x = 4,021,966,189.73/72,469.48
  6. Step 6: Final answer
    x = 55,498.76

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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.