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Finding the Fourth Proportional to 75,858.96, 113,775.48 and 20,442

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Solution

The fourth proportional to 75,858.96, 113,775.48 and 20,442 is: 30,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,858.96 : 113,775.48 = 20,442 : x
  2. Step 2: Convert to fraction form
    75,858.96/113,775.48 = 20,442/x
  3. Step 3: Cross multiply
    75,858.96x = 113,775.48 × 20,442
  4. Step 4: Simplify right side
    75,858.96x = 2,325,798,362.16
  5. Step 5: Solve for x
    x = 2,325,798,362.16/75,858.96
  6. Step 6: Final answer
    x = 30,659.51

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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.