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Finding the Fourth Proportional to 129,782.40, 194,673.60 and 76,419.60

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Solution

The fourth proportional to 129,782.40, 194,673.60 and 76,419.60 is: 114,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,782.40 : 194,673.60 = 76,419.60 : x
  2. Step 2: Convert to fraction form
    129,782.40/194,673.60 = 76,419.60/x
  3. Step 3: Cross multiply
    129,782.40x = 194,673.60 × 76,419.60
  4. Step 4: Simplify right side
    129,782.40x = 14,876,878,642.56
  5. Step 5: Solve for x
    x = 14,876,878,642.56/129,782.40
  6. Step 6: Final answer
    x = 114,629.40

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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.