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Finding the Fourth Proportional to 128,663.40, 193,167.90 and 82,122.60

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Solution

The fourth proportional to 128,663.40, 193,167.90 and 82,122.60 is: 123,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,663.40 : 193,167.90 = 82,122.60 : x
  2. Step 2: Convert to fraction form
    128,663.40/193,167.90 = 82,122.60/x
  3. Step 3: Cross multiply
    128,663.40x = 193,167.90 × 82,122.60
  4. Step 4: Simplify right side
    128,663.40x = 15,863,450,184.54
  5. Step 5: Solve for x
    x = 15,863,450,184.54/128,663.40
  6. Step 6: Final answer
    x = 123,294.19

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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.