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Finding the Fourth Proportional to 76,762.80, 115,065 and 41,628.24

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Solution

The fourth proportional to 76,762.80, 115,065 and 41,628.24 is: 62,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,762.80 : 115,065 = 41,628.24 : x
  2. Step 2: Convert to fraction form
    76,762.80/115,065 = 41,628.24/x
  3. Step 3: Cross multiply
    76,762.80x = 115,065 × 41,628.24
  4. Step 4: Simplify right side
    76,762.80x = 4,789,953,435.60
  5. Step 5: Solve for x
    x = 4,789,953,435.60/76,762.80
  6. Step 6: Final answer
    x = 62,399.41

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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.