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Finding the Fourth Proportional to 84,819, 127,228.50 and 26,451

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Solution

The fourth proportional to 84,819, 127,228.50 and 26,451 is: 39,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,819 : 127,228.50 = 26,451 : x
  2. Step 2: Convert to fraction form
    84,819/127,228.50 = 26,451/x
  3. Step 3: Cross multiply
    84,819x = 127,228.50 × 26,451
  4. Step 4: Simplify right side
    84,819x = 3,365,321,053.50
  5. Step 5: Solve for x
    x = 3,365,321,053.50/84,819
  6. Step 6: Final answer
    x = 39,676.50

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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.