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Finding the Fourth Proportional to 41,146.08, 61,722 and 20,364

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Solution

The fourth proportional to 41,146.08, 61,722 and 20,364 is: 30,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,146.08 : 61,722 = 20,364 : x
  2. Step 2: Convert to fraction form
    41,146.08/61,722 = 20,364/x
  3. Step 3: Cross multiply
    41,146.08x = 61,722 × 20,364
  4. Step 4: Simplify right side
    41,146.08x = 1,256,906,808
  5. Step 5: Solve for x
    x = 1,256,906,808/41,146.08
  6. Step 6: Final answer
    x = 30,547.43

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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.