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Finding the Fourth Proportional to 128,682.40, 193,196.40 and 82,141.60

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Solution

The fourth proportional to 128,682.40, 193,196.40 and 82,141.60 is: 123,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,682.40 : 193,196.40 = 82,141.60 : x
  2. Step 2: Convert to fraction form
    128,682.40/193,196.40 = 82,141.60/x
  3. Step 3: Cross multiply
    128,682.40x = 193,196.40 × 82,141.60
  4. Step 4: Simplify right side
    128,682.40x = 15,869,461,410.24
  5. Step 5: Solve for x
    x = 15,869,461,410.24/128,682.40
  6. Step 6: Final answer
    x = 123,322.70

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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.