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Finding the Fourth Proportional to 84,685.50, 127,028.25 and 22,356

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Solution

The fourth proportional to 84,685.50, 127,028.25 and 22,356 is: 33,534

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,685.50 : 127,028.25 = 22,356 : x
  2. Step 2: Convert to fraction form
    84,685.50/127,028.25 = 22,356/x
  3. Step 3: Cross multiply
    84,685.50x = 127,028.25 × 22,356
  4. Step 4: Simplify right side
    84,685.50x = 2,839,843,557
  5. Step 5: Solve for x
    x = 2,839,843,557/84,685.50
  6. Step 6: Final answer
    x = 33,534

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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.