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Finding the Fourth Proportional to 80,182.54, 120,274.34 and 21,017.70

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Solution

The fourth proportional to 80,182.54, 120,274.34 and 21,017.70 is: 31,526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,182.54 : 120,274.34 = 21,017.70 : x
  2. Step 2: Convert to fraction form
    80,182.54/120,274.34 = 21,017.70/x
  3. Step 3: Cross multiply
    80,182.54x = 120,274.34 × 21,017.70
  4. Step 4: Simplify right side
    80,182.54x = 2,527,889,995.82
  5. Step 5: Solve for x
    x = 2,527,889,995.82/80,182.54
  6. Step 6: Final answer
    x = 31,526.69

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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.