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Finding the Fourth Proportional to 73,982.25, 102,095.87 and 40,448.25

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Solution

The fourth proportional to 73,982.25, 102,095.87 and 40,448.25 is: 55,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,982.25 : 102,095.87 = 40,448.25 : x
  2. Step 2: Convert to fraction form
    73,982.25/102,095.87 = 40,448.25/x
  3. Step 3: Cross multiply
    73,982.25x = 102,095.87 × 40,448.25
  4. Step 4: Simplify right side
    73,982.25x = 4,129,599,071.49
  5. Step 5: Solve for x
    x = 4,129,599,071.49/73,982.25
  6. Step 6: Final answer
    x = 55,818.78

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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.