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Finding the Fourth Proportional to 54,855.40, 82,285.80 and 28,611.40

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Solution

The fourth proportional to 54,855.40, 82,285.80 and 28,611.40 is: 42,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,855.40 : 82,285.80 = 28,611.40 : x
  2. Step 2: Convert to fraction form
    54,855.40/82,285.80 = 28,611.40/x
  3. Step 3: Cross multiply
    54,855.40x = 82,285.80 × 28,611.40
  4. Step 4: Simplify right side
    54,855.40x = 2,354,311,938.12
  5. Step 5: Solve for x
    x = 2,354,311,938.12/54,855.40
  6. Step 6: Final answer
    x = 42,918.51

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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.