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Finding the Fourth Proportional to 89,145.54, 133,659.99 and 29,965.32

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Solution

The fourth proportional to 89,145.54, 133,659.99 and 29,965.32 is: 44,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,145.54 : 133,659.99 = 29,965.32 : x
  2. Step 2: Convert to fraction form
    89,145.54/133,659.99 = 29,965.32/x
  3. Step 3: Cross multiply
    89,145.54x = 133,659.99 × 29,965.32
  4. Step 4: Simplify right side
    89,145.54x = 4,005,164,371.55
  5. Step 5: Solve for x
    x = 4,005,164,371.55/89,145.54
  6. Step 6: Final answer
    x = 44,928.38

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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.