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Finding the Fourth Proportional to 68,232.42, 102,459.78 and 42,103.26

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Solution

The fourth proportional to 68,232.42, 102,459.78 and 42,103.26 is: 63,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,232.42 : 102,459.78 = 42,103.26 : x
  2. Step 2: Convert to fraction form
    68,232.42/102,459.78 = 42,103.26/x
  3. Step 3: Cross multiply
    68,232.42x = 102,459.78 × 42,103.26
  4. Step 4: Simplify right side
    68,232.42x = 4,313,890,756.88
  5. Step 5: Solve for x
    x = 4,313,890,756.88/68,232.42
  6. Step 6: Final answer
    x = 63,223.48

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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.