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Finding the Fourth Proportional to 76,808, 115,257.36 and 32,431.88

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Solution

The fourth proportional to 76,808, 115,257.36 and 32,431.88 is: 48,666.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,808 : 115,257.36 = 32,431.88 : x
  2. Step 2: Convert to fraction form
    76,808/115,257.36 = 32,431.88/x
  3. Step 3: Cross multiply
    76,808x = 115,257.36 × 32,431.88
  4. Step 4: Simplify right side
    76,808x = 3,738,012,868.64
  5. Step 5: Solve for x
    x = 3,738,012,868.64/76,808
  6. Step 6: Final answer
    x = 48,666.97

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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.