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Finding the Fourth Proportional to 64,541.56, 96,812.42 and 20,168.54

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Solution

The fourth proportional to 64,541.56, 96,812.42 and 20,168.54 is: 30,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,541.56 : 96,812.42 = 20,168.54 : x
  2. Step 2: Convert to fraction form
    64,541.56/96,812.42 = 20,168.54/x
  3. Step 3: Cross multiply
    64,541.56x = 96,812.42 × 20,168.54
  4. Step 4: Simplify right side
    64,541.56x = 1,952,565,487.98
  5. Step 5: Solve for x
    x = 1,952,565,487.98/64,541.56
  6. Step 6: Final answer
    x = 30,252.84

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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.