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Finding the Fourth Proportional to 132,599, 182,986.62 and 72,983

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Solution

The fourth proportional to 132,599, 182,986.62 and 72,983 is: 100,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,599 : 182,986.62 = 72,983 : x
  2. Step 2: Convert to fraction form
    132,599/182,986.62 = 72,983/x
  3. Step 3: Cross multiply
    132,599x = 182,986.62 × 72,983
  4. Step 4: Simplify right side
    132,599x = 13,354,912,487.46
  5. Step 5: Solve for x
    x = 13,354,912,487.46/132,599
  6. Step 6: Final answer
    x = 100,716.54

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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.