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Finding the Fourth Proportional to 128,789.40, 193,196.40 and 40,019.08

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Solution

The fourth proportional to 128,789.40, 193,196.40 and 40,019.08 is: 60,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,789.40 : 193,196.40 = 40,019.08 : x
  2. Step 2: Convert to fraction form
    128,789.40/193,196.40 = 40,019.08/x
  3. Step 3: Cross multiply
    128,789.40x = 193,196.40 × 40,019.08
  4. Step 4: Simplify right side
    128,789.40x = 7,731,542,187.31
  5. Step 5: Solve for x
    x = 7,731,542,187.31/128,789.40
  6. Step 6: Final answer
    x = 60,032.44

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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.