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Finding the Fourth Proportional to 81,725, 122,587.50 and 26,321

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Solution

The fourth proportional to 81,725, 122,587.50 and 26,321 is: 39,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,725 : 122,587.50 = 26,321 : x
  2. Step 2: Convert to fraction form
    81,725/122,587.50 = 26,321/x
  3. Step 3: Cross multiply
    81,725x = 122,587.50 × 26,321
  4. Step 4: Simplify right side
    81,725x = 3,226,625,587.50
  5. Step 5: Solve for x
    x = 3,226,625,587.50/81,725
  6. Step 6: Final answer
    x = 39,481.50

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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.