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Finding the Fourth Proportional to 68,534, 102,802.80 and 21,786.86

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Solution

The fourth proportional to 68,534, 102,802.80 and 21,786.86 is: 32,680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,534 : 102,802.80 = 21,786.86 : x
  2. Step 2: Convert to fraction form
    68,534/102,802.80 = 21,786.86/x
  3. Step 3: Cross multiply
    68,534x = 102,802.80 × 21,786.86
  4. Step 4: Simplify right side
    68,534x = 2,239,750,211.21
  5. Step 5: Solve for x
    x = 2,239,750,211.21/68,534
  6. Step 6: Final answer
    x = 32,680.86

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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.