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Finding the Fourth Proportional to 76,798.76, 115,213.82 and 43,533.68

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Solution

The fourth proportional to 76,798.76, 115,213.82 and 43,533.68 is: 65,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,798.76 : 115,213.82 = 43,533.68 : x
  2. Step 2: Convert to fraction form
    76,798.76/115,213.82 = 43,533.68/x
  3. Step 3: Cross multiply
    76,798.76x = 115,213.82 × 43,533.68
  4. Step 4: Simplify right side
    76,798.76x = 5,015,681,571.46
  5. Step 5: Solve for x
    x = 5,015,681,571.46/76,798.76
  6. Step 6: Final answer
    x = 65,309.41

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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.