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Finding the Fourth Proportional to 128,833.56, 193,256.40 and 106,302.44

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Solution

The fourth proportional to 128,833.56, 193,256.40 and 106,302.44 is: 159,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,833.56 : 193,256.40 = 106,302.44 : x
  2. Step 2: Convert to fraction form
    128,833.56/193,256.40 = 106,302.44/x
  3. Step 3: Cross multiply
    128,833.56x = 193,256.40 × 106,302.44
  4. Step 4: Simplify right side
    128,833.56x = 20,543,625,899.33
  5. Step 5: Solve for x
    x = 20,543,625,899.33/128,833.56
  6. Step 6: Final answer
    x = 159,458.65

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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.