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Finding the Fourth Proportional to 268,105.34, 402,157.66 and 68,425.72

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Solution

The fourth proportional to 268,105.34, 402,157.66 and 68,425.72 is: 102,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,105.34 : 402,157.66 = 68,425.72 : x
  2. Step 2: Convert to fraction form
    268,105.34/402,157.66 = 68,425.72/x
  3. Step 3: Cross multiply
    268,105.34x = 402,157.66 × 68,425.72
  4. Step 4: Simplify right side
    268,105.34x = 27,517,927,439.02
  5. Step 5: Solve for x
    x = 27,517,927,439.02/268,105.34
  6. Step 6: Final answer
    x = 102,638.49

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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.