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Finding the Fourth Proportional to 76,960, 115,106.44 and 45,294.60

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Solution

The fourth proportional to 76,960, 115,106.44 and 45,294.60 is: 67,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,960 : 115,106.44 = 45,294.60 : x
  2. Step 2: Convert to fraction form
    76,960/115,106.44 = 45,294.60/x
  3. Step 3: Cross multiply
    76,960x = 115,106.44 × 45,294.60
  4. Step 4: Simplify right side
    76,960x = 5,213,700,157.22
  5. Step 5: Solve for x
    x = 5,213,700,157.22/76,960
  6. Step 6: Final answer
    x = 67,745.58

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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.