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Finding the Fourth Proportional to 35,422.65, 48,878.09 and 20,106.82

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Solution

The fourth proportional to 35,422.65, 48,878.09 and 20,106.82 is: 27,744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,422.65 : 48,878.09 = 20,106.82 : x
  2. Step 2: Convert to fraction form
    35,422.65/48,878.09 = 20,106.82/x
  3. Step 3: Cross multiply
    35,422.65x = 48,878.09 × 20,106.82
  4. Step 4: Simplify right side
    35,422.65x = 982,782,957.57
  5. Step 5: Solve for x
    x = 982,782,957.57/35,422.65
  6. Step 6: Final answer
    x = 27,744.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.