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Finding the Fourth Proportional to 81,096, 121,709.52 and 34,381.68

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Solution

The fourth proportional to 81,096, 121,709.52 and 34,381.68 is: 51,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,096 : 121,709.52 = 34,381.68 : x
  2. Step 2: Convert to fraction form
    81,096/121,709.52 = 34,381.68/x
  3. Step 3: Cross multiply
    81,096x = 121,709.52 × 34,381.68
  4. Step 4: Simplify right side
    81,096x = 4,184,577,769.59
  5. Step 5: Solve for x
    x = 4,184,577,769.59/81,096
  6. Step 6: Final answer
    x = 51,600.30

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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.