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Finding the Fourth Proportional to 81,960.81, 122,941.14 and 29,407.20

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Solution

The fourth proportional to 81,960.81, 122,941.14 and 29,407.20 is: 44,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,960.81 : 122,941.14 = 29,407.20 : x
  2. Step 2: Convert to fraction form
    81,960.81/122,941.14 = 29,407.20/x
  3. Step 3: Cross multiply
    81,960.81x = 122,941.14 × 29,407.20
  4. Step 4: Simplify right side
    81,960.81x = 3,615,354,692.21
  5. Step 5: Solve for x
    x = 3,615,354,692.21/81,960.81
  6. Step 6: Final answer
    x = 44,110.77

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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.