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Finding the Fourth Proportional to 55,239.80, 82,838.10 and 20,161.40

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Solution

The fourth proportional to 55,239.80, 82,838.10 and 20,161.40 is: 30,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,239.80 : 82,838.10 = 20,161.40 : x
  2. Step 2: Convert to fraction form
    55,239.80/82,838.10 = 20,161.40/x
  3. Step 3: Cross multiply
    55,239.80x = 82,838.10 × 20,161.40
  4. Step 4: Simplify right side
    55,239.80x = 1,670,132,069.34
  5. Step 5: Solve for x
    x = 1,670,132,069.34/55,239.80
  6. Step 6: Final answer
    x = 30,234.22

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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.