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Finding the Fourth Proportional to 89,774, 134,661 and 34,370

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Solution

The fourth proportional to 89,774, 134,661 and 34,370 is: 51,555

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,774 : 134,661 = 34,370 : x
  2. Step 2: Convert to fraction form
    89,774/134,661 = 34,370/x
  3. Step 3: Cross multiply
    89,774x = 134,661 × 34,370
  4. Step 4: Simplify right side
    89,774x = 4,628,298,570
  5. Step 5: Solve for x
    x = 4,628,298,570/89,774
  6. Step 6: Final answer
    x = 51,555

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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.