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Finding the Fourth Proportional to 45,679.52, 68,473.92 and 20,738

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Solution

The fourth proportional to 45,679.52, 68,473.92 and 20,738 is: 31,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,679.52 : 68,473.92 = 20,738 : x
  2. Step 2: Convert to fraction form
    45,679.52/68,473.92 = 20,738/x
  3. Step 3: Cross multiply
    45,679.52x = 68,473.92 × 20,738
  4. Step 4: Simplify right side
    45,679.52x = 1,420,012,152.96
  5. Step 5: Solve for x
    x = 1,420,012,152.96/45,679.52
  6. Step 6: Final answer
    x = 31,086.41

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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.