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Finding the Fourth Proportional to 76,441.40, 114,662.10 and 73,379.60

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Solution

The fourth proportional to 76,441.40, 114,662.10 and 73,379.60 is: 110,069.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,441.40 : 114,662.10 = 73,379.60 : x
  2. Step 2: Convert to fraction form
    76,441.40/114,662.10 = 73,379.60/x
  3. Step 3: Cross multiply
    76,441.40x = 114,662.10 × 73,379.60
  4. Step 4: Simplify right side
    76,441.40x = 8,413,859,033.16
  5. Step 5: Solve for x
    x = 8,413,859,033.16/76,441.40
  6. Step 6: Final answer
    x = 110,069.40

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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.