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Finding the Fourth Proportional to 208,238.83, 312,486.77 and 81,856.96

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Solution

The fourth proportional to 208,238.83, 312,486.77 and 81,856.96 is: 122,835.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,238.83 : 312,486.77 = 81,856.96 : x
  2. Step 2: Convert to fraction form
    208,238.83/312,486.77 = 81,856.96/x
  3. Step 3: Cross multiply
    208,238.83x = 312,486.77 × 81,856.96
  4. Step 4: Simplify right side
    208,238.83x = 25,579,217,032.42
  5. Step 5: Solve for x
    x = 25,579,217,032.42/208,238.83
  6. Step 6: Final answer
    x = 122,835.96

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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.