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Finding the Fourth Proportional to 68,187.52, 102,305.84 and 23,820.80

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Solution

The fourth proportional to 68,187.52, 102,305.84 and 23,820.80 is: 35,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,187.52 : 102,305.84 = 23,820.80 : x
  2. Step 2: Convert to fraction form
    68,187.52/102,305.84 = 23,820.80/x
  3. Step 3: Cross multiply
    68,187.52x = 102,305.84 × 23,820.80
  4. Step 4: Simplify right side
    68,187.52x = 2,437,006,953.47
  5. Step 5: Solve for x
    x = 2,437,006,953.47/68,187.52
  6. Step 6: Final answer
    x = 35,739.78

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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.