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Finding the Fourth Proportional to 76,580.40, 114,611.40 and 67,249.20

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Solution

The fourth proportional to 76,580.40, 114,611.40 and 67,249.20 is: 100,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,580.40 : 114,611.40 = 67,249.20 : x
  2. Step 2: Convert to fraction form
    76,580.40/114,611.40 = 67,249.20/x
  3. Step 3: Cross multiply
    76,580.40x = 114,611.40 × 67,249.20
  4. Step 4: Simplify right side
    76,580.40x = 7,707,524,960.88
  5. Step 5: Solve for x
    x = 7,707,524,960.88/76,580.40
  6. Step 6: Final answer
    x = 100,646.18

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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.