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Finding the Fourth Proportional to 75,934, 113,901.18 and 20,530

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Solution

The fourth proportional to 75,934, 113,901.18 and 20,530 is: 30,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,934 : 113,901.18 = 20,530 : x
  2. Step 2: Convert to fraction form
    75,934/113,901.18 = 20,530/x
  3. Step 3: Cross multiply
    75,934x = 113,901.18 × 20,530
  4. Step 4: Simplify right side
    75,934x = 2,338,391,225.40
  5. Step 5: Solve for x
    x = 2,338,391,225.40/75,934
  6. Step 6: Final answer
    x = 30,795.05

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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.