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Finding the Fourth Proportional to 68,478.30, 102,652.65 and 40,419.90

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Solution

The fourth proportional to 68,478.30, 102,652.65 and 40,419.90 is: 60,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,478.30 : 102,652.65 = 40,419.90 : x
  2. Step 2: Convert to fraction form
    68,478.30/102,652.65 = 40,419.90/x
  3. Step 3: Cross multiply
    68,478.30x = 102,652.65 × 40,419.90
  4. Step 4: Simplify right side
    68,478.30x = 4,149,209,847.74
  5. Step 5: Solve for x
    x = 4,149,209,847.74/68,478.30
  6. Step 6: Final answer
    x = 60,591.60

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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.