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Finding the Fourth Proportional to 200,438.82, 276,628.86 and 115,558.92

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Solution

The fourth proportional to 200,438.82, 276,628.86 and 115,558.92 is: 159,484.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,438.82 : 276,628.86 = 115,558.92 : x
  2. Step 2: Convert to fraction form
    200,438.82/276,628.86 = 115,558.92/x
  3. Step 3: Cross multiply
    200,438.82x = 276,628.86 × 115,558.92
  4. Step 4: Simplify right side
    200,438.82x = 31,966,932,302.43
  5. Step 5: Solve for x
    x = 31,966,932,302.43/200,438.82
  6. Step 6: Final answer
    x = 159,484.74

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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.