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Finding the Fourth Proportional to 81,881.44, 122,823.60 and 29,328.64

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Solution

The fourth proportional to 81,881.44, 122,823.60 and 29,328.64 is: 43,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,881.44 : 122,823.60 = 29,328.64 : x
  2. Step 2: Convert to fraction form
    81,881.44/122,823.60 = 29,328.64/x
  3. Step 3: Cross multiply
    81,881.44x = 122,823.60 × 29,328.64
  4. Step 4: Simplify right side
    81,881.44x = 3,602,249,147.90
  5. Step 5: Solve for x
    x = 3,602,249,147.90/81,881.44
  6. Step 6: Final answer
    x = 43,993.48

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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.