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Finding the Fourth Proportional to 68,456.76, 102,678.12 and 18,534.84

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Solution

The fourth proportional to 68,456.76, 102,678.12 and 18,534.84 is: 27,800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,456.76 : 102,678.12 = 18,534.84 : x
  2. Step 2: Convert to fraction form
    68,456.76/102,678.12 = 18,534.84/x
  3. Step 3: Cross multiply
    68,456.76x = 102,678.12 × 18,534.84
  4. Step 4: Simplify right side
    68,456.76x = 1,903,122,525.70
  5. Step 5: Solve for x
    x = 1,903,122,525.70/68,456.76
  6. Step 6: Final answer
    x = 27,800.36

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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.