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Finding the Fourth Proportional to 68,127.48, 102,201.48 and 21,384

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Solution

The fourth proportional to 68,127.48, 102,201.48 and 21,384 is: 32,079.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,127.48 : 102,201.48 = 21,384 : x
  2. Step 2: Convert to fraction form
    68,127.48/102,201.48 = 21,384/x
  3. Step 3: Cross multiply
    68,127.48x = 102,201.48 × 21,384
  4. Step 4: Simplify right side
    68,127.48x = 2,185,476,448.32
  5. Step 5: Solve for x
    x = 2,185,476,448.32/68,127.48
  6. Step 6: Final answer
    x = 32,079.22

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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.