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Finding the Fourth Proportional to 68,468.20, 102,500.70 and 51,015.40

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Solution

The fourth proportional to 68,468.20, 102,500.70 and 51,015.40 is: 76,372.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,468.20 : 102,500.70 = 51,015.40 : x
  2. Step 2: Convert to fraction form
    68,468.20/102,500.70 = 51,015.40/x
  3. Step 3: Cross multiply
    68,468.20x = 102,500.70 × 51,015.40
  4. Step 4: Simplify right side
    68,468.20x = 5,229,114,210.78
  5. Step 5: Solve for x
    x = 5,229,114,210.78/68,468.20
  6. Step 6: Final answer
    x = 76,372.89

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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.