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Finding the Fourth Proportional to 72,329.26, 108,493.75 and 19,738.66

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Solution

The fourth proportional to 72,329.26, 108,493.75 and 19,738.66 is: 29,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,329.26 : 108,493.75 = 19,738.66 : x
  2. Step 2: Convert to fraction form
    72,329.26/108,493.75 = 19,738.66/x
  3. Step 3: Cross multiply
    72,329.26x = 108,493.75 × 19,738.66
  4. Step 4: Simplify right side
    72,329.26x = 2,141,521,243.38
  5. Step 5: Solve for x
    x = 2,141,521,243.38/72,329.26
  6. Step 6: Final answer
    x = 29,607.95

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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.