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Finding the Fourth Proportional to 83,009, 124,512.24 and 38,610.92

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Solution

The fourth proportional to 83,009, 124,512.24 and 38,610.92 is: 57,915.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,009 : 124,512.24 = 38,610.92 : x
  2. Step 2: Convert to fraction form
    83,009/124,512.24 = 38,610.92/x
  3. Step 3: Cross multiply
    83,009x = 124,512.24 × 38,610.92
  4. Step 4: Simplify right side
    83,009x = 4,807,532,137.66
  5. Step 5: Solve for x
    x = 4,807,532,137.66/83,009
  6. Step 6: Final answer
    x = 57,915.79

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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.