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Finding the Fourth Proportional to 268,956.96, 403,318.77 and 91,416.30

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Solution

The fourth proportional to 268,956.96, 403,318.77 and 91,416.30 is: 137,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,956.96 : 403,318.77 = 91,416.30 : x
  2. Step 2: Convert to fraction form
    268,956.96/403,318.77 = 91,416.30/x
  3. Step 3: Cross multiply
    268,956.96x = 403,318.77 × 91,416.30
  4. Step 4: Simplify right side
    268,956.96x = 36,869,909,673.95
  5. Step 5: Solve for x
    x = 36,869,909,673.95/268,956.96
  6. Step 6: Final answer
    x = 137,084.79

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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.