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Finding the Fourth Proportional to 76,530, 105,563.75 and 52,615.16

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Solution

The fourth proportional to 76,530, 105,563.75 and 52,615.16 is: 72,576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,530 : 105,563.75 = 52,615.16 : x
  2. Step 2: Convert to fraction form
    76,530/105,563.75 = 52,615.16/x
  3. Step 3: Cross multiply
    76,530x = 105,563.75 × 52,615.16
  4. Step 4: Simplify right side
    76,530x = 5,554,252,805.56
  5. Step 5: Solve for x
    x = 5,554,252,805.56/76,530
  6. Step 6: Final answer
    x = 72,576.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.