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Finding the Fourth Proportional to 89,916, 134,880.48 and 34,512

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Solution

The fourth proportional to 89,916, 134,880.48 and 34,512 is: 51,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,916 : 134,880.48 = 34,512 : x
  2. Step 2: Convert to fraction form
    89,916/134,880.48 = 34,512/x
  3. Step 3: Cross multiply
    89,916x = 134,880.48 × 34,512
  4. Step 4: Simplify right side
    89,916x = 4,654,995,125.76
  5. Step 5: Solve for x
    x = 4,654,995,125.76/89,916
  6. Step 6: Final answer
    x = 51,770.49

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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.