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Finding the Fourth Proportional to 75,910.48, 113,871.48 and 20,506

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Solution

The fourth proportional to 75,910.48, 113,871.48 and 20,506 is: 30,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,910.48 : 113,871.48 = 20,506 : x
  2. Step 2: Convert to fraction form
    75,910.48/113,871.48 = 20,506/x
  3. Step 3: Cross multiply
    75,910.48x = 113,871.48 × 20,506
  4. Step 4: Simplify right side
    75,910.48x = 2,335,048,568.88
  5. Step 5: Solve for x
    x = 2,335,048,568.88/75,910.48
  6. Step 6: Final answer
    x = 30,760.56

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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.