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Finding the Fourth Proportional to 129,782.60, 194,673.90 and 31,286.60

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Solution

The fourth proportional to 129,782.60, 194,673.90 and 31,286.60 is: 46,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,782.60 : 194,673.90 = 31,286.60 : x
  2. Step 2: Convert to fraction form
    129,782.60/194,673.90 = 31,286.60/x
  3. Step 3: Cross multiply
    129,782.60x = 194,673.90 × 31,286.60
  4. Step 4: Simplify right side
    129,782.60x = 6,090,684,439.74
  5. Step 5: Solve for x
    x = 6,090,684,439.74/129,782.60
  6. Step 6: Final answer
    x = 46,929.90

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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.