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Finding the Fourth Proportional to 68,534.32, 102,800.40 and 21,786.52

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Solution

The fourth proportional to 68,534.32, 102,800.40 and 21,786.52 is: 32,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,534.32 : 102,800.40 = 21,786.52 : x
  2. Step 2: Convert to fraction form
    68,534.32/102,800.40 = 21,786.52/x
  3. Step 3: Cross multiply
    68,534.32x = 102,800.40 × 21,786.52
  4. Step 4: Simplify right side
    68,534.32x = 2,239,662,970.61
  5. Step 5: Solve for x
    x = 2,239,662,970.61/68,534.32
  6. Step 6: Final answer
    x = 32,679.44

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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.