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Finding the Fourth Proportional to 75,678, 104,261.76 and 59,756.64

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Solution

The fourth proportional to 75,678, 104,261.76 and 59,756.64 is: 82,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,678 : 104,261.76 = 59,756.64 : x
  2. Step 2: Convert to fraction form
    75,678/104,261.76 = 59,756.64/x
  3. Step 3: Cross multiply
    75,678x = 104,261.76 × 59,756.64
  4. Step 4: Simplify right side
    75,678x = 6,230,332,458.09
  5. Step 5: Solve for x
    x = 6,230,332,458.09/75,678
  6. Step 6: Final answer
    x = 82,326.86

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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.