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Finding the Fourth Proportional to 48,938.70, 73,435.74 and 20,855.80

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Solution

The fourth proportional to 48,938.70, 73,435.74 and 20,855.80 is: 31,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,938.70 : 73,435.74 = 20,855.80 : x
  2. Step 2: Convert to fraction form
    48,938.70/73,435.74 = 20,855.80/x
  3. Step 3: Cross multiply
    48,938.70x = 73,435.74 × 20,855.80
  4. Step 4: Simplify right side
    48,938.70x = 1,531,561,106.29
  5. Step 5: Solve for x
    x = 1,531,561,106.29/48,938.70
  6. Step 6: Final answer
    x = 31,295.50

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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.