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Finding the Fourth Proportional to 68,200.81, 102,316.48 and 20,820.12

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Solution

The fourth proportional to 68,200.81, 102,316.48 and 20,820.12 is: 31,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,200.81 : 102,316.48 = 20,820.12 : x
  2. Step 2: Convert to fraction form
    68,200.81/102,316.48 = 20,820.12/x
  3. Step 3: Cross multiply
    68,200.81x = 102,316.48 × 20,820.12
  4. Step 4: Simplify right side
    68,200.81x = 2,130,241,391.58
  5. Step 5: Solve for x
    x = 2,130,241,391.58/68,200.81
  6. Step 6: Final answer
    x = 31,234.84

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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.