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Finding the Fourth Proportional to 68,442.81, 102,667.89 and 21,699.33

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Solution

The fourth proportional to 68,442.81, 102,667.89 and 21,699.33 is: 32,550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,442.81 : 102,667.89 = 21,699.33 : x
  2. Step 2: Convert to fraction form
    68,442.81/102,667.89 = 21,699.33/x
  3. Step 3: Cross multiply
    68,442.81x = 102,667.89 × 21,699.33
  4. Step 4: Simplify right side
    68,442.81x = 2,227,824,425.51
  5. Step 5: Solve for x
    x = 2,227,824,425.51/68,442.81
  6. Step 6: Final answer
    x = 32,550.16

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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.