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Finding the Fourth Proportional to 30,279, 41,790.80 and 20,052.02

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Solution

The fourth proportional to 30,279, 41,790.80 and 20,052.02 is: 27,675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,279 : 41,790.80 = 20,052.02 : x
  2. Step 2: Convert to fraction form
    30,279/41,790.80 = 20,052.02/x
  3. Step 3: Cross multiply
    30,279x = 41,790.80 × 20,052.02
  4. Step 4: Simplify right side
    30,279x = 837,989,957.42
  5. Step 5: Solve for x
    x = 837,989,957.42/30,279
  6. Step 6: Final answer
    x = 27,675.62

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Why These Related Problems?

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