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Finding the Fourth Proportional to 76,840.49, 115,233 and 32,470.67

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Solution

The fourth proportional to 76,840.49, 115,233 and 32,470.67 is: 48,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,840.49 : 115,233 = 32,470.67 : x
  2. Step 2: Convert to fraction form
    76,840.49/115,233 = 32,470.67/x
  3. Step 3: Cross multiply
    76,840.49x = 115,233 × 32,470.67
  4. Step 4: Simplify right side
    76,840.49x = 3,741,692,139.95
  5. Step 5: Solve for x
    x = 3,741,692,139.95/76,840.49
  6. Step 6: Final answer
    x = 48,694.28

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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.