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Finding the Fourth Proportional to 204,751.49, 282,731.19 and 128,398.46

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Solution

The fourth proportional to 204,751.49, 282,731.19 and 128,398.46 is: 177,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,751.49 : 282,731.19 = 128,398.46 : x
  2. Step 2: Convert to fraction form
    204,751.49/282,731.19 = 128,398.46/x
  3. Step 3: Cross multiply
    204,751.49x = 282,731.19 × 128,398.46
  4. Step 4: Simplify right side
    204,751.49x = 36,302,249,389.97
  5. Step 5: Solve for x
    x = 36,302,249,389.97/204,751.49
  6. Step 6: Final answer
    x = 177,299.07

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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.