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Finding the Fourth Proportional to 84,821, 127,231.50 and 26,453

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Solution

The fourth proportional to 84,821, 127,231.50 and 26,453 is: 39,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,821 : 127,231.50 = 26,453 : x
  2. Step 2: Convert to fraction form
    84,821/127,231.50 = 26,453/x
  3. Step 3: Cross multiply
    84,821x = 127,231.50 × 26,453
  4. Step 4: Simplify right side
    84,821x = 3,365,654,869.50
  5. Step 5: Solve for x
    x = 3,365,654,869.50/84,821
  6. Step 6: Final answer
    x = 39,679.50

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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.