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Finding the Fourth Proportional to 68,019.04, 101,993.44 and 30,547

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Solution

The fourth proportional to 68,019.04, 101,993.44 and 30,547 is: 45,804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,019.04 : 101,993.44 = 30,547 : x
  2. Step 2: Convert to fraction form
    68,019.04/101,993.44 = 30,547/x
  3. Step 3: Cross multiply
    68,019.04x = 101,993.44 × 30,547
  4. Step 4: Simplify right side
    68,019.04x = 3,115,593,611.68
  5. Step 5: Solve for x
    x = 3,115,593,611.68/68,019.04
  6. Step 6: Final answer
    x = 45,804.73

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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.