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Finding the Fourth Proportional to 260,082.94, 390,137.92 and 82,603.84

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Solution

The fourth proportional to 260,082.94, 390,137.92 and 82,603.84 is: 123,910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,082.94 : 390,137.92 = 82,603.84 : x
  2. Step 2: Convert to fraction form
    260,082.94/390,137.92 = 82,603.84/x
  3. Step 3: Cross multiply
    260,082.94x = 390,137.92 × 82,603.84
  4. Step 4: Simplify right side
    260,082.94x = 32,226,890,321.61
  5. Step 5: Solve for x
    x = 32,226,890,321.61/260,082.94
  6. Step 6: Final answer
    x = 123,910.05

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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.