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Finding the Fourth Proportional to 72,538.09, 108,794.59 and 19,230.41

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Solution

The fourth proportional to 72,538.09, 108,794.59 and 19,230.41 is: 28,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,538.09 : 108,794.59 = 19,230.41 : x
  2. Step 2: Convert to fraction form
    72,538.09/108,794.59 = 19,230.41/x
  3. Step 3: Cross multiply
    72,538.09x = 108,794.59 × 19,230.41
  4. Step 4: Simplify right side
    72,538.09x = 2,092,164,571.48
  5. Step 5: Solve for x
    x = 2,092,164,571.48/72,538.09
  6. Step 6: Final answer
    x = 28,842.29

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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.