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Finding the Fourth Proportional to 132,254, 182,512 and 72,638

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Solution

The fourth proportional to 132,254, 182,512 and 72,638 is: 100,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,254 : 182,512 = 72,638 : x
  2. Step 2: Convert to fraction form
    132,254/182,512 = 72,638/x
  3. Step 3: Cross multiply
    132,254x = 182,512 × 72,638
  4. Step 4: Simplify right side
    132,254x = 13,257,306,656
  5. Step 5: Solve for x
    x = 13,257,306,656/132,254
  6. Step 6: Final answer
    x = 100,241.25

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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.