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Finding the Fourth Proportional to 129,682.53, 194,468.72 and 50,784.21

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Solution

The fourth proportional to 129,682.53, 194,468.72 and 50,784.21 is: 76,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,682.53 : 194,468.72 = 50,784.21 : x
  2. Step 2: Convert to fraction form
    129,682.53/194,468.72 = 50,784.21/x
  3. Step 3: Cross multiply
    129,682.53x = 194,468.72 × 50,784.21
  4. Step 4: Simplify right side
    129,682.53x = 9,875,940,060.99
  5. Step 5: Solve for x
    x = 9,875,940,060.99/129,682.53
  6. Step 6: Final answer
    x = 76,154.75

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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.