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Finding the Fourth Proportional to 132,185, 182,332.14 and 78,431.88

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Solution

The fourth proportional to 132,185, 182,332.14 and 78,431.88 is: 108,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,185 : 182,332.14 = 78,431.88 : x
  2. Step 2: Convert to fraction form
    132,185/182,332.14 = 78,431.88/x
  3. Step 3: Cross multiply
    132,185x = 182,332.14 × 78,431.88
  4. Step 4: Simplify right side
    132,185x = 14,300,652,524.62
  5. Step 5: Solve for x
    x = 14,300,652,524.62/132,185
  6. Step 6: Final answer
    x = 108,186.65

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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.