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Finding the Fourth Proportional to 55,288.20, 82,964.70 and 20,231.40

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Solution

The fourth proportional to 55,288.20, 82,964.70 and 20,231.40 is: 30,358.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,288.20 : 82,964.70 = 20,231.40 : x
  2. Step 2: Convert to fraction form
    55,288.20/82,964.70 = 20,231.40/x
  3. Step 3: Cross multiply
    55,288.20x = 82,964.70 × 20,231.40
  4. Step 4: Simplify right side
    55,288.20x = 1,678,492,031.58
  5. Step 5: Solve for x
    x = 1,678,492,031.58/55,288.20
  6. Step 6: Final answer
    x = 30,358.96

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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.