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Finding the Fourth Proportional to 204,735, 282,383.91 and 135,699.61

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Solution

The fourth proportional to 204,735, 282,383.91 and 135,699.61 is: 187,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,735 : 282,383.91 = 135,699.61 : x
  2. Step 2: Convert to fraction form
    204,735/282,383.91 = 135,699.61/x
  3. Step 3: Cross multiply
    204,735x = 282,383.91 × 135,699.61
  4. Step 4: Simplify right side
    204,735x = 38,319,386,457.28
  5. Step 5: Solve for x
    x = 38,319,386,457.28/204,735
  6. Step 6: Final answer
    x = 187,165.78

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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.