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Finding the Fourth Proportional to 72,415.49, 108,623.30 and 41,185.13

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Solution

The fourth proportional to 72,415.49, 108,623.30 and 41,185.13 is: 61,777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,415.49 : 108,623.30 = 41,185.13 : x
  2. Step 2: Convert to fraction form
    72,415.49/108,623.30 = 41,185.13/x
  3. Step 3: Cross multiply
    72,415.49x = 108,623.30 × 41,185.13
  4. Step 4: Simplify right side
    72,415.49x = 4,473,663,982.49
  5. Step 5: Solve for x
    x = 4,473,663,982.49/72,415.49
  6. Step 6: Final answer
    x = 61,777.73

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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.