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Finding the Fourth Proportional to 132,381, 182,685.78 and 72,765

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Solution

The fourth proportional to 132,381, 182,685.78 and 72,765 is: 100,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,381 : 182,685.78 = 72,765 : x
  2. Step 2: Convert to fraction form
    132,381/182,685.78 = 72,765/x
  3. Step 3: Cross multiply
    132,381x = 182,685.78 × 72,765
  4. Step 4: Simplify right side
    132,381x = 13,293,130,781.70
  5. Step 5: Solve for x
    x = 13,293,130,781.70/132,381
  6. Step 6: Final answer
    x = 100,415.70

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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.