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Finding the Fourth Proportional to 81,886.44, 122,831.10 and 29,333.64

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Solution

The fourth proportional to 81,886.44, 122,831.10 and 29,333.64 is: 44,000.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,886.44 : 122,831.10 = 29,333.64 : x
  2. Step 2: Convert to fraction form
    81,886.44/122,831.10 = 29,333.64/x
  3. Step 3: Cross multiply
    81,886.44x = 122,831.10 × 29,333.64
  4. Step 4: Simplify right side
    81,886.44x = 3,603,083,268.20
  5. Step 5: Solve for x
    x = 3,603,083,268.20/81,886.44
  6. Step 6: Final answer
    x = 44,000.98

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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.