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Finding the Fourth Proportional to 128,869.20, 193,476.60 and 82,213.20

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Solution

The fourth proportional to 128,869.20, 193,476.60 and 82,213.20 is: 123,430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,869.20 : 193,476.60 = 82,213.20 : x
  2. Step 2: Convert to fraction form
    128,869.20/193,476.60 = 82,213.20/x
  3. Step 3: Cross multiply
    128,869.20x = 193,476.60 × 82,213.20
  4. Step 4: Simplify right side
    128,869.20x = 15,906,330,411.12
  5. Step 5: Solve for x
    x = 15,906,330,411.12/128,869.20
  6. Step 6: Final answer
    x = 123,430.04

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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.