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Finding the Fourth Proportional to 68,049.48, 102,074.22 and 21,306

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Solution

The fourth proportional to 68,049.48, 102,074.22 and 21,306 is: 31,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,049.48 : 102,074.22 = 21,306 : x
  2. Step 2: Convert to fraction form
    68,049.48/102,074.22 = 21,306/x
  3. Step 3: Cross multiply
    68,049.48x = 102,074.22 × 21,306
  4. Step 4: Simplify right side
    68,049.48x = 2,174,793,331.32
  5. Step 5: Solve for x
    x = 2,174,793,331.32/68,049.48
  6. Step 6: Final answer
    x = 31,959.00

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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.