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Finding the Fourth Proportional to 128,902.78, 193,419.78 and 58,772.98

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Solution

The fourth proportional to 128,902.78, 193,419.78 and 58,772.98 is: 88,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,902.78 : 193,419.78 = 58,772.98 : x
  2. Step 2: Convert to fraction form
    128,902.78/193,419.78 = 58,772.98/x
  3. Step 3: Cross multiply
    128,902.78x = 193,419.78 × 58,772.98
  4. Step 4: Simplify right side
    128,902.78x = 11,367,856,861.54
  5. Step 5: Solve for x
    x = 11,367,856,861.54/128,902.78
  6. Step 6: Final answer
    x = 88,189.38

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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.