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Finding the Fourth Proportional to 75,846.96, 113,757.48 and 20,430

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Solution

The fourth proportional to 75,846.96, 113,757.48 and 20,430 is: 30,641.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846.96 : 113,757.48 = 20,430 : x
  2. Step 2: Convert to fraction form
    75,846.96/113,757.48 = 20,430/x
  3. Step 3: Cross multiply
    75,846.96x = 113,757.48 × 20,430
  4. Step 4: Simplify right side
    75,846.96x = 2,324,065,316.40
  5. Step 5: Solve for x
    x = 2,324,065,316.40/75,846.96
  6. Step 6: Final answer
    x = 30,641.51

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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.