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Finding the Fourth Proportional to 166,461.50, 229,716.87 and 91,010

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Solution

The fourth proportional to 166,461.50, 229,716.87 and 91,010 is: 125,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,461.50 : 229,716.87 = 91,010 : x
  2. Step 2: Convert to fraction form
    166,461.50/229,716.87 = 91,010/x
  3. Step 3: Cross multiply
    166,461.50x = 229,716.87 × 91,010
  4. Step 4: Simplify right side
    166,461.50x = 20,906,532,338.70
  5. Step 5: Solve for x
    x = 20,906,532,338.70/166,461.50
  6. Step 6: Final answer
    x = 125,593.80

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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.