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Finding the Fourth Proportional to 132,035, 182,208.30 and 72,419

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Solution

The fourth proportional to 132,035, 182,208.30 and 72,419 is: 99,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,035 : 182,208.30 = 72,419 : x
  2. Step 2: Convert to fraction form
    132,035/182,208.30 = 72,419/x
  3. Step 3: Cross multiply
    132,035x = 182,208.30 × 72,419
  4. Step 4: Simplify right side
    132,035x = 13,195,342,877.70
  5. Step 5: Solve for x
    x = 13,195,342,877.70/132,035
  6. Step 6: Final answer
    x = 99,938.22

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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.