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Finding the Fourth Proportional to 204,676.90, 307,056.49 and 86,347.71

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Solution

The fourth proportional to 204,676.90, 307,056.49 and 86,347.71 is: 129,538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,676.90 : 307,056.49 = 86,347.71 : x
  2. Step 2: Convert to fraction form
    204,676.90/307,056.49 = 86,347.71/x
  3. Step 3: Cross multiply
    204,676.90x = 307,056.49 × 86,347.71
  4. Step 4: Simplify right side
    204,676.90x = 26,513,624,536.27
  5. Step 5: Solve for x
    x = 26,513,624,536.27/204,676.90
  6. Step 6: Final answer
    x = 129,538.92

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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.