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Finding the Fourth Proportional to 128,906.65, 193,357.01 and 75,934.67

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Solution

The fourth proportional to 128,906.65, 193,357.01 and 75,934.67 is: 113,900.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,906.65 : 193,357.01 = 75,934.67 : x
  2. Step 2: Convert to fraction form
    128,906.65/193,357.01 = 75,934.67/x
  3. Step 3: Cross multiply
    128,906.65x = 193,357.01 × 75,934.67
  4. Step 4: Simplify right side
    128,906.65x = 14,682,500,746.54
  5. Step 5: Solve for x
    x = 14,682,500,746.54/128,906.65
  6. Step 6: Final answer
    x = 113,900.26

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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.