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Finding the Fourth Proportional to 268,069.32, 402,107.10 and 68,389.32

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Solution

The fourth proportional to 268,069.32, 402,107.10 and 68,389.32 is: 102,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,069.32 : 402,107.10 = 68,389.32 : x
  2. Step 2: Convert to fraction form
    268,069.32/402,107.10 = 68,389.32/x
  3. Step 3: Cross multiply
    268,069.32x = 402,107.10 × 68,389.32
  4. Step 4: Simplify right side
    268,069.32x = 27,499,831,136.17
  5. Step 5: Solve for x
    x = 27,499,831,136.17/268,069.32
  6. Step 6: Final answer
    x = 102,584.78

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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.