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Finding the Fourth Proportional to 204,845.76, 307,363.68 and 86,544.72

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Solution

The fourth proportional to 204,845.76, 307,363.68 and 86,544.72 is: 129,857.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,845.76 : 307,363.68 = 86,544.72 : x
  2. Step 2: Convert to fraction form
    204,845.76/307,363.68 = 86,544.72/x
  3. Step 3: Cross multiply
    204,845.76x = 307,363.68 × 86,544.72
  4. Step 4: Simplify right side
    204,845.76x = 26,600,703,623.77
  5. Step 5: Solve for x
    x = 26,600,703,623.77/204,845.76
  6. Step 6: Final answer
    x = 129,857.23

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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.