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Finding the Fourth Proportional to 68,396.97, 102,708.93 and 42,267.78

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Solution

The fourth proportional to 68,396.97, 102,708.93 and 42,267.78 is: 63,471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,396.97 : 102,708.93 = 42,267.78 : x
  2. Step 2: Convert to fraction form
    68,396.97/102,708.93 = 42,267.78/x
  3. Step 3: Cross multiply
    68,396.97x = 102,708.93 × 42,267.78
  4. Step 4: Simplify right side
    68,396.97x = 4,341,278,457.28
  5. Step 5: Solve for x
    x = 4,341,278,457.28/68,396.97
  6. Step 6: Final answer
    x = 63,471.79

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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.