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Finding the Fourth Proportional to 76,664.88, 114,754.32 and 55,533.60

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Solution

The fourth proportional to 76,664.88, 114,754.32 and 55,533.60 is: 83,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,664.88 : 114,754.32 = 55,533.60 : x
  2. Step 2: Convert to fraction form
    76,664.88/114,754.32 = 55,533.60/x
  3. Step 3: Cross multiply
    76,664.88x = 114,754.32 × 55,533.60
  4. Step 4: Simplify right side
    76,664.88x = 6,372,720,505.15
  5. Step 5: Solve for x
    x = 6,372,720,505.15/76,664.88
  6. Step 6: Final answer
    x = 83,124.38

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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.