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Finding the Fourth Proportional to 76,812, 115,263.36 and 32,435.88

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Solution

The fourth proportional to 76,812, 115,263.36 and 32,435.88 is: 48,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,812 : 115,263.36 = 32,435.88 : x
  2. Step 2: Convert to fraction form
    76,812/115,263.36 = 32,435.88/x
  3. Step 3: Cross multiply
    76,812x = 115,263.36 × 32,435.88
  4. Step 4: Simplify right side
    76,812x = 3,738,668,513.36
  5. Step 5: Solve for x
    x = 3,738,668,513.36/76,812
  6. Step 6: Final answer
    x = 48,672.97

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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.