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Finding the Fourth Proportional to 148,789.40, 205,365.08 and 85,164.08

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Solution

The fourth proportional to 148,789.40, 205,365.08 and 85,164.08 is: 117,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,789.40 : 205,365.08 = 85,164.08 : x
  2. Step 2: Convert to fraction form
    148,789.40/205,365.08 = 85,164.08/x
  3. Step 3: Cross multiply
    148,789.40x = 205,365.08 × 85,164.08
  4. Step 4: Simplify right side
    148,789.40x = 17,489,728,102.33
  5. Step 5: Solve for x
    x = 17,489,728,102.33/148,789.40
  6. Step 6: Final answer
    x = 117,546.87

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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.