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Finding the Fourth Proportional to 128,765.04, 177,796.44 and 83,464.56

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Solution

The fourth proportional to 128,765.04, 177,796.44 and 83,464.56 is: 115,246.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,765.04 : 177,796.44 = 83,464.56 : x
  2. Step 2: Convert to fraction form
    128,765.04/177,796.44 = 83,464.56/x
  3. Step 3: Cross multiply
    128,765.04x = 177,796.44 × 83,464.56
  4. Step 4: Simplify right side
    128,765.04x = 14,839,701,634.17
  5. Step 5: Solve for x
    x = 14,839,701,634.17/128,765.04
  6. Step 6: Final answer
    x = 115,246.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.