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Finding the Fourth Proportional to 133,691.58, 184,454.82 and 76,329

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Solution

The fourth proportional to 133,691.58, 184,454.82 and 76,329 is: 105,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,691.58 : 184,454.82 = 76,329 : x
  2. Step 2: Convert to fraction form
    133,691.58/184,454.82 = 76,329/x
  3. Step 3: Cross multiply
    133,691.58x = 184,454.82 × 76,329
  4. Step 4: Simplify right side
    133,691.58x = 14,079,251,955.78
  5. Step 5: Solve for x
    x = 14,079,251,955.78/133,691.58
  6. Step 6: Final answer
    x = 105,311.43

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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.