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Finding the Fourth Proportional to 204,663.77, 307,028.47 and 86,352.54

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Solution

The fourth proportional to 204,663.77, 307,028.47 and 86,352.54 is: 129,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,663.77 : 307,028.47 = 86,352.54 : x
  2. Step 2: Convert to fraction form
    204,663.77/307,028.47 = 86,352.54/x
  3. Step 3: Cross multiply
    204,663.77x = 307,028.47 × 86,352.54
  4. Step 4: Simplify right side
    204,663.77x = 26,512,688,236.81
  5. Step 5: Solve for x
    x = 26,512,688,236.81/204,663.77
  6. Step 6: Final answer
    x = 129,542.66

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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.