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Finding the Fourth Proportional to 72,469.12, 100,008.42 and 43,784.80

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Solution

The fourth proportional to 72,469.12, 100,008.42 and 43,784.80 is: 60,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,469.12 : 100,008.42 = 43,784.80 : x
  2. Step 2: Convert to fraction form
    72,469.12/100,008.42 = 43,784.80/x
  3. Step 3: Cross multiply
    72,469.12x = 100,008.42 × 43,784.80
  4. Step 4: Simplify right side
    72,469.12x = 4,378,848,668.02
  5. Step 5: Solve for x
    x = 4,378,848,668.02/72,469.12
  6. Step 6: Final answer
    x = 60,423.65

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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.