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Finding the Fourth Proportional to 149,553.78, 206,379.18 and 89,093.12

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Solution

The fourth proportional to 149,553.78, 206,379.18 and 89,093.12 is: 122,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,553.78 : 206,379.18 = 89,093.12 : x
  2. Step 2: Convert to fraction form
    149,553.78/206,379.18 = 89,093.12/x
  3. Step 3: Cross multiply
    149,553.78x = 206,379.18 × 89,093.12
  4. Step 4: Simplify right side
    149,553.78x = 18,386,964,017.35
  5. Step 5: Solve for x
    x = 18,386,964,017.35/149,553.78
  6. Step 6: Final answer
    x = 122,945.50

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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.