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Finding the Fourth Proportional to 89,148, 133,728.48 and 33,744

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Solution

The fourth proportional to 89,148, 133,728.48 and 33,744 is: 50,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,148 : 133,728.48 = 33,744 : x
  2. Step 2: Convert to fraction form
    89,148/133,728.48 = 33,744/x
  3. Step 3: Cross multiply
    89,148x = 133,728.48 × 33,744
  4. Step 4: Simplify right side
    89,148x = 4,512,533,829.12
  5. Step 5: Solve for x
    x = 4,512,533,829.12/89,148
  6. Step 6: Final answer
    x = 50,618.45

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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.