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Finding the Fourth Proportional to 72,696.84, 100,322.82 and 39,992.64

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Solution

The fourth proportional to 72,696.84, 100,322.82 and 39,992.64 is: 55,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,696.84 : 100,322.82 = 39,992.64 : x
  2. Step 2: Convert to fraction form
    72,696.84/100,322.82 = 39,992.64/x
  3. Step 3: Cross multiply
    72,696.84x = 100,322.82 × 39,992.64
  4. Step 4: Simplify right side
    72,696.84x = 4,012,174,424.04
  5. Step 5: Solve for x
    x = 4,012,174,424.04/72,696.84
  6. Step 6: Final answer
    x = 55,190.49

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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.