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Finding the Fourth Proportional to 89,811, 134,735.94 and 34,407

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Solution

The fourth proportional to 89,811, 134,735.94 and 34,407 is: 51,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,811 : 134,735.94 = 34,407 : x
  2. Step 2: Convert to fraction form
    89,811/134,735.94 = 34,407/x
  3. Step 3: Cross multiply
    89,811x = 134,735.94 × 34,407
  4. Step 4: Simplify right side
    89,811x = 4,635,859,487.58
  5. Step 5: Solve for x
    x = 4,635,859,487.58/89,811
  6. Step 6: Final answer
    x = 51,617.95

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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.