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Finding the Fourth Proportional to 89,102.25, 122,961.11 and 49,358.25

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Solution

The fourth proportional to 89,102.25, 122,961.11 and 49,358.25 is: 68,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,102.25 : 122,961.11 = 49,358.25 : x
  2. Step 2: Convert to fraction form
    89,102.25/122,961.11 = 49,358.25/x
  3. Step 3: Cross multiply
    89,102.25x = 122,961.11 × 49,358.25
  4. Step 4: Simplify right side
    89,102.25x = 6,069,145,207.66
  5. Step 5: Solve for x
    x = 6,069,145,207.66/89,102.25
  6. Step 6: Final answer
    x = 68,114.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.