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Finding the Fourth Proportional to 166,080, 229,190.40 and 99,012

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Solution

The fourth proportional to 166,080, 229,190.40 and 99,012 is: 136,636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,080 : 229,190.40 = 99,012 : x
  2. Step 2: Convert to fraction form
    166,080/229,190.40 = 99,012/x
  3. Step 3: Cross multiply
    166,080x = 229,190.40 × 99,012
  4. Step 4: Simplify right side
    166,080x = 22,692,599,884.80
  5. Step 5: Solve for x
    x = 22,692,599,884.80/166,080
  6. Step 6: Final answer
    x = 136,636.56

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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.