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Finding the Fourth Proportional to 68,412.70, 102,619.05 and 40,419.10

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Solution

The fourth proportional to 68,412.70, 102,619.05 and 40,419.10 is: 60,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,412.70 : 102,619.05 = 40,419.10 : x
  2. Step 2: Convert to fraction form
    68,412.70/102,619.05 = 40,419.10/x
  3. Step 3: Cross multiply
    68,412.70x = 102,619.05 × 40,419.10
  4. Step 4: Simplify right side
    68,412.70x = 4,147,769,643.86
  5. Step 5: Solve for x
    x = 4,147,769,643.86/68,412.70
  6. Step 6: Final answer
    x = 60,628.65

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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.