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Finding the Fourth Proportional to 272,212.92, 408,319.38 and 85,239

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Solution

The fourth proportional to 272,212.92, 408,319.38 and 85,239 is: 127,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,212.92 : 408,319.38 = 85,239 : x
  2. Step 2: Convert to fraction form
    272,212.92/408,319.38 = 85,239/x
  3. Step 3: Cross multiply
    272,212.92x = 408,319.38 × 85,239
  4. Step 4: Simplify right side
    272,212.92x = 34,804,735,631.82
  5. Step 5: Solve for x
    x = 34,804,735,631.82/272,212.92
  6. Step 6: Final answer
    x = 127,858.50

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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.