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Finding the Fourth Proportional to 68,140.40, 102,113.40 and 50,231.30

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Solution

The fourth proportional to 68,140.40, 102,113.40 and 50,231.30 is: 75,275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,140.40 : 102,113.40 = 50,231.30 : x
  2. Step 2: Convert to fraction form
    68,140.40/102,113.40 = 50,231.30/x
  3. Step 3: Cross multiply
    68,140.40x = 102,113.40 × 50,231.30
  4. Step 4: Simplify right side
    68,140.40x = 5,129,288,829.42
  5. Step 5: Solve for x
    x = 5,129,288,829.42/68,140.40
  6. Step 6: Final answer
    x = 75,275.30

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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.