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Finding the Fourth Proportional to 128,658.40, 193,160.40 and 82,117.60

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Solution

The fourth proportional to 128,658.40, 193,160.40 and 82,117.60 is: 123,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,658.40 : 193,160.40 = 82,117.60 : x
  2. Step 2: Convert to fraction form
    128,658.40/193,160.40 = 82,117.60/x
  3. Step 3: Cross multiply
    128,658.40x = 193,160.40 × 82,117.60
  4. Step 4: Simplify right side
    128,658.40x = 15,861,868,463.04
  5. Step 5: Solve for x
    x = 15,861,868,463.04/128,658.40
  6. Step 6: Final answer
    x = 123,286.69

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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.