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Finding the Fourth Proportional to 89,912, 134,874.48 and 34,508

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Solution

The fourth proportional to 89,912, 134,874.48 and 34,508 is: 51,764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,912 : 134,874.48 = 34,508 : x
  2. Step 2: Convert to fraction form
    89,912/134,874.48 = 34,508/x
  3. Step 3: Cross multiply
    89,912x = 134,874.48 × 34,508
  4. Step 4: Simplify right side
    89,912x = 4,654,248,555.84
  5. Step 5: Solve for x
    x = 4,654,248,555.84/89,912
  6. Step 6: Final answer
    x = 51,764.49

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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.