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Finding the Fourth Proportional to 128,974.52, 193,435.86 and 40,213.64

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Solution

The fourth proportional to 128,974.52, 193,435.86 and 40,213.64 is: 60,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,974.52 : 193,435.86 = 40,213.64 : x
  2. Step 2: Convert to fraction form
    128,974.52/193,435.86 = 40,213.64/x
  3. Step 3: Cross multiply
    128,974.52x = 193,435.86 × 40,213.64
  4. Step 4: Simplify right side
    128,974.52x = 7,778,760,037.13
  5. Step 5: Solve for x
    x = 7,778,760,037.13/128,974.52
  6. Step 6: Final answer
    x = 60,312.38

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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.