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Finding the Fourth Proportional to 128,686.40, 193,202.40 and 82,145.60

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Solution

The fourth proportional to 128,686.40, 193,202.40 and 82,145.60 is: 123,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,686.40 : 193,202.40 = 82,145.60 : x
  2. Step 2: Convert to fraction form
    128,686.40/193,202.40 = 82,145.60/x
  3. Step 3: Cross multiply
    128,686.40x = 193,202.40 × 82,145.60
  4. Step 4: Simplify right side
    128,686.40x = 15,870,727,069.44
  5. Step 5: Solve for x
    x = 15,870,727,069.44/128,686.40
  6. Step 6: Final answer
    x = 123,328.71

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1.5x scale

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.