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Finding the Fourth Proportional to 147,575.67, 203,638.71 and 83,043.78

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Solution

The fourth proportional to 147,575.67, 203,638.71 and 83,043.78 is: 114,591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,575.67 : 203,638.71 = 83,043.78 : x
  2. Step 2: Convert to fraction form
    147,575.67/203,638.71 = 83,043.78/x
  3. Step 3: Cross multiply
    147,575.67x = 203,638.71 × 83,043.78
  4. Step 4: Simplify right side
    147,575.67x = 16,910,928,232.72
  5. Step 5: Solve for x
    x = 16,910,928,232.72/147,575.67
  6. Step 6: Final answer
    x = 114,591.57

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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.