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Finding the Fourth Proportional to 76,816.56, 115,224.56 and 30,036.48

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Solution

The fourth proportional to 76,816.56, 115,224.56 and 30,036.48 is: 45,054.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,816.56 : 115,224.56 = 30,036.48 : x
  2. Step 2: Convert to fraction form
    76,816.56/115,224.56 = 30,036.48/x
  3. Step 3: Cross multiply
    76,816.56x = 115,224.56 × 30,036.48
  4. Step 4: Simplify right side
    76,816.56x = 3,460,940,191.95
  5. Step 5: Solve for x
    x = 3,460,940,191.95/76,816.56
  6. Step 6: Final answer
    x = 45,054.61

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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.