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Finding the Fourth Proportional to 208,203.08, 287,321.14 and 112,709.77

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Solution

The fourth proportional to 208,203.08, 287,321.14 and 112,709.77 is: 155,539.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,203.08 : 287,321.14 = 112,709.77 : x
  2. Step 2: Convert to fraction form
    208,203.08/287,321.14 = 112,709.77/x
  3. Step 3: Cross multiply
    208,203.08x = 287,321.14 × 112,709.77
  4. Step 4: Simplify right side
    208,203.08x = 32,383,899,028.12
  5. Step 5: Solve for x
    x = 32,383,899,028.12/208,203.08
  6. Step 6: Final answer
    x = 155,539.97

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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.