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Finding the Fourth Proportional to 128,902.25, 193,345.60 and 76,644.29

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Solution

The fourth proportional to 128,902.25, 193,345.60 and 76,644.29 is: 114,961.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,902.25 : 193,345.60 = 76,644.29 : x
  2. Step 2: Convert to fraction form
    128,902.25/193,345.60 = 76,644.29/x
  3. Step 3: Cross multiply
    128,902.25x = 193,345.60 × 76,644.29
  4. Step 4: Simplify right side
    128,902.25x = 14,818,836,236.62
  5. Step 5: Solve for x
    x = 14,818,836,236.62/128,902.25
  6. Step 6: Final answer
    x = 114,961.81

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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.