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Finding the Fourth Proportional to 68,003.14, 102,019.11 and 21,259.54

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Solution

The fourth proportional to 68,003.14, 102,019.11 and 21,259.54 is: 31,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,003.14 : 102,019.11 = 21,259.54 : x
  2. Step 2: Convert to fraction form
    68,003.14/102,019.11 = 21,259.54/x
  3. Step 3: Cross multiply
    68,003.14x = 102,019.11 × 21,259.54
  4. Step 4: Simplify right side
    68,003.14x = 2,168,879,349.81
  5. Step 5: Solve for x
    x = 2,168,879,349.81/68,003.14
  6. Step 6: Final answer
    x = 31,893.81

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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.