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Finding the Fourth Proportional to 268,129.64, 402,194.06 and 68,450.02

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Solution

The fourth proportional to 268,129.64, 402,194.06 and 68,450.02 is: 102,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,129.64 : 402,194.06 = 68,450.02 : x
  2. Step 2: Convert to fraction form
    268,129.64/402,194.06 = 68,450.02/x
  3. Step 3: Cross multiply
    268,129.64x = 402,194.06 × 68,450.02
  4. Step 4: Simplify right side
    268,129.64x = 27,530,191,450.88
  5. Step 5: Solve for x
    x = 27,530,191,450.88/268,129.64
  6. Step 6: Final answer
    x = 102,674.93

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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.