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Finding the Fourth Proportional to 68,048.48, 102,072.72 and 21,305

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Solution

The fourth proportional to 68,048.48, 102,072.72 and 21,305 is: 31,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,048.48 : 102,072.72 = 21,305 : x
  2. Step 2: Convert to fraction form
    68,048.48/102,072.72 = 21,305/x
  3. Step 3: Cross multiply
    68,048.48x = 102,072.72 × 21,305
  4. Step 4: Simplify right side
    68,048.48x = 2,174,659,299.60
  5. Step 5: Solve for x
    x = 2,174,659,299.60/68,048.48
  6. Step 6: Final answer
    x = 31,957.50

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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.