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Finding the Fourth Proportional to 57,907.80, 86,813.10 and 30,205.80

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Solution

The fourth proportional to 57,907.80, 86,813.10 and 30,205.80 is: 45,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,907.80 : 86,813.10 = 30,205.80 : x
  2. Step 2: Convert to fraction form
    57,907.80/86,813.10 = 30,205.80/x
  3. Step 3: Cross multiply
    57,907.80x = 86,813.10 × 30,205.80
  4. Step 4: Simplify right side
    57,907.80x = 2,622,259,135.98
  5. Step 5: Solve for x
    x = 2,622,259,135.98/57,907.80
  6. Step 6: Final answer
    x = 45,283.35

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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.