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Finding the Fourth Proportional to 76,771.20, 115,329.60 and 74,697.60

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Solution

The fourth proportional to 76,771.20, 115,329.60 and 74,697.60 is: 112,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,771.20 : 115,329.60 = 74,697.60 : x
  2. Step 2: Convert to fraction form
    76,771.20/115,329.60 = 74,697.60/x
  3. Step 3: Cross multiply
    76,771.20x = 115,329.60 × 74,697.60
  4. Step 4: Simplify right side
    76,771.20x = 8,614,844,328.96
  5. Step 5: Solve for x
    x = 8,614,844,328.96/76,771.20
  6. Step 6: Final answer
    x = 112,214.53

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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.