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Finding the Fourth Proportional to 68,173.82, 102,102.01 and 65,809.12

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Solution

The fourth proportional to 68,173.82, 102,102.01 and 65,809.12 is: 98,560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,173.82 : 102,102.01 = 65,809.12 : x
  2. Step 2: Convert to fraction form
    68,173.82/102,102.01 = 65,809.12/x
  3. Step 3: Cross multiply
    68,173.82x = 102,102.01 × 65,809.12
  4. Step 4: Simplify right side
    68,173.82x = 6,719,243,428.33
  5. Step 5: Solve for x
    x = 6,719,243,428.33/68,173.82
  6. Step 6: Final answer
    x = 98,560.47

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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.