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Finding the Fourth Proportional to 82,790, 124,186.12 and 23,625.66

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Solution

The fourth proportional to 82,790, 124,186.12 and 23,625.66 is: 35,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,790 : 124,186.12 = 23,625.66 : x
  2. Step 2: Convert to fraction form
    82,790/124,186.12 = 23,625.66/x
  3. Step 3: Cross multiply
    82,790x = 124,186.12 × 23,625.66
  4. Step 4: Simplify right side
    82,790x = 2,933,979,047.84
  5. Step 5: Solve for x
    x = 2,933,979,047.84/82,790
  6. Step 6: Final answer
    x = 35,438.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.