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Finding the Fourth Proportional to 41,358.06, 61,981.74 and 20,265.84

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Solution

The fourth proportional to 41,358.06, 61,981.74 and 20,265.84 is: 30,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,358.06 : 61,981.74 = 20,265.84 : x
  2. Step 2: Convert to fraction form
    41,358.06/61,981.74 = 20,265.84/x
  3. Step 3: Cross multiply
    41,358.06x = 61,981.74 × 20,265.84
  4. Step 4: Simplify right side
    41,358.06x = 1,256,112,025.76
  5. Step 5: Solve for x
    x = 1,256,112,025.76/41,358.06
  6. Step 6: Final answer
    x = 30,371.64

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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.