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Finding the Fourth Proportional to 34,308, 47,351.52 and 20,168.64

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Solution

The fourth proportional to 34,308, 47,351.52 and 20,168.64 is: 27,836.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,308 : 47,351.52 = 20,168.64 : x
  2. Step 2: Convert to fraction form
    34,308/47,351.52 = 20,168.64/x
  3. Step 3: Cross multiply
    34,308x = 47,351.52 × 20,168.64
  4. Step 4: Simplify right side
    34,308x = 955,015,760.33
  5. Step 5: Solve for x
    x = 955,015,760.33/34,308
  6. Step 6: Final answer
    x = 27,836.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.