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Finding the Fourth Proportional to 166,517, 229,793.64 and 91,065.68

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Solution

The fourth proportional to 166,517, 229,793.64 and 91,065.68 is: 125,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,517 : 229,793.64 = 91,065.68 : x
  2. Step 2: Convert to fraction form
    166,517/229,793.64 = 91,065.68/x
  3. Step 3: Cross multiply
    166,517x = 229,793.64 × 91,065.68
  4. Step 4: Simplify right side
    166,517x = 20,926,314,086.28
  5. Step 5: Solve for x
    x = 20,926,314,086.28/166,517
  6. Step 6: Final answer
    x = 125,670.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.