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Finding the Fourth Proportional to 208,238.58, 312,486.39 and 81,856.71

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Solution

The fourth proportional to 208,238.58, 312,486.39 and 81,856.71 is: 122,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,238.58 : 312,486.39 = 81,856.71 : x
  2. Step 2: Convert to fraction form
    208,238.58/312,486.39 = 81,856.71/x
  3. Step 3: Cross multiply
    208,238.58x = 312,486.39 × 81,856.71
  4. Step 4: Simplify right side
    208,238.58x = 25,579,107,805.18
  5. Step 5: Solve for x
    x = 25,579,107,805.18/208,238.58
  6. Step 6: Final answer
    x = 122,835.59

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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.