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Finding the Fourth Proportional to 68,693.72, 102,906.42 and 47,342.64

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Solution

The fourth proportional to 68,693.72, 102,906.42 and 47,342.64 is: 70,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,693.72 : 102,906.42 = 47,342.64 : x
  2. Step 2: Convert to fraction form
    68,693.72/102,906.42 = 47,342.64/x
  3. Step 3: Cross multiply
    68,693.72x = 102,906.42 × 47,342.64
  4. Step 4: Simplify right side
    68,693.72x = 4,871,861,804.11
  5. Step 5: Solve for x
    x = 4,871,861,804.11/68,693.72
  6. Step 6: Final answer
    x = 70,921.51

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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.