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Finding the Fourth Proportional to 255,323.31, 352,408.23 and 147,876

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Solution

The fourth proportional to 255,323.31, 352,408.23 and 147,876 is: 204,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,323.31 : 352,408.23 = 147,876 : x
  2. Step 2: Convert to fraction form
    255,323.31/352,408.23 = 147,876/x
  3. Step 3: Cross multiply
    255,323.31x = 352,408.23 × 147,876
  4. Step 4: Simplify right side
    255,323.31x = 52,112,719,419.48
  5. Step 5: Solve for x
    x = 52,112,719,419.48/255,323.31
  6. Step 6: Final answer
    x = 204,104.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.