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Finding the Fourth Proportional to 84,930.84, 127,396.53 and 25,767

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Solution

The fourth proportional to 84,930.84, 127,396.53 and 25,767 is: 38,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,930.84 : 127,396.53 = 25,767 : x
  2. Step 2: Convert to fraction form
    84,930.84/127,396.53 = 25,767/x
  3. Step 3: Cross multiply
    84,930.84x = 127,396.53 × 25,767
  4. Step 4: Simplify right side
    84,930.84x = 3,282,626,388.51
  5. Step 5: Solve for x
    x = 3,282,626,388.51/84,930.84
  6. Step 6: Final answer
    x = 38,650.58

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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.