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Finding the Fourth Proportional to 75,820, 113,725.21 and 29,610.06

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Solution

The fourth proportional to 75,820, 113,725.21 and 29,610.06 is: 44,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,820 : 113,725.21 = 29,610.06 : x
  2. Step 2: Convert to fraction form
    75,820/113,725.21 = 29,610.06/x
  3. Step 3: Cross multiply
    75,820x = 113,725.21 × 29,610.06
  4. Step 4: Simplify right side
    75,820x = 3,367,410,291.61
  5. Step 5: Solve for x
    x = 3,367,410,291.61/75,820
  6. Step 6: Final answer
    x = 44,413.22

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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.