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Finding the Fourth Proportional to 81,888.44, 122,834.10 and 29,335.64

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Solution

The fourth proportional to 81,888.44, 122,834.10 and 29,335.64 is: 44,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,888.44 : 122,834.10 = 29,335.64 : x
  2. Step 2: Convert to fraction form
    81,888.44/122,834.10 = 29,335.64/x
  3. Step 3: Cross multiply
    81,888.44x = 122,834.10 × 29,335.64
  4. Step 4: Simplify right side
    81,888.44x = 3,603,416,937.32
  5. Step 5: Solve for x
    x = 3,603,416,937.32/81,888.44
  6. Step 6: Final answer
    x = 44,003.98

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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.