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Finding the Fourth Proportional to 204,750.49, 282,729.81 and 128,397.46

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Solution

The fourth proportional to 204,750.49, 282,729.81 and 128,397.46 is: 177,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,750.49 : 282,729.81 = 128,397.46 : x
  2. Step 2: Convert to fraction form
    204,750.49/282,729.81 = 128,397.46/x
  3. Step 3: Cross multiply
    204,750.49x = 282,729.81 × 128,397.46
  4. Step 4: Simplify right side
    204,750.49x = 36,301,789,470.28
  5. Step 5: Solve for x
    x = 36,301,789,470.28/204,750.49
  6. Step 6: Final answer
    x = 177,297.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.