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Finding the Fourth Proportional to 40,846, 61,283.60 and 20,084.08

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Solution

The fourth proportional to 40,846, 61,283.60 and 20,084.08 is: 30,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,846 : 61,283.60 = 20,084.08 : x
  2. Step 2: Convert to fraction form
    40,846/61,283.60 = 20,084.08/x
  3. Step 3: Cross multiply
    40,846x = 61,283.60 × 20,084.08
  4. Step 4: Simplify right side
    40,846x = 1,230,824,725.09
  5. Step 5: Solve for x
    x = 1,230,824,725.09/40,846
  6. Step 6: Final answer
    x = 30,133.30

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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.