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Finding the Fourth Proportional to 75,725.88, 113,605.22 and 28,978.75

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Solution

The fourth proportional to 75,725.88, 113,605.22 and 28,978.75 is: 43,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,725.88 : 113,605.22 = 28,978.75 : x
  2. Step 2: Convert to fraction form
    75,725.88/113,605.22 = 28,978.75/x
  3. Step 3: Cross multiply
    75,725.88x = 113,605.22 × 28,978.75
  4. Step 4: Simplify right side
    75,725.88x = 3,292,137,269.08
  5. Step 5: Solve for x
    x = 3,292,137,269.08/75,725.88
  6. Step 6: Final answer
    x = 43,474.40

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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.