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Finding the Fourth Proportional to 268,451.58, 402,735.69 and 81,477.66

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Solution

The fourth proportional to 268,451.58, 402,735.69 and 81,477.66 is: 122,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,451.58 : 402,735.69 = 81,477.66 : x
  2. Step 2: Convert to fraction form
    268,451.58/402,735.69 = 81,477.66/x
  3. Step 3: Cross multiply
    268,451.58x = 402,735.69 × 81,477.66
  4. Step 4: Simplify right side
    268,451.58x = 32,813,961,619.69
  5. Step 5: Solve for x
    x = 32,813,961,619.69/268,451.58
  6. Step 6: Final answer
    x = 122,234.19

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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.