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Finding the Fourth Proportional to 166,160, 229,301.76 and 90,709.28

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Solution

The fourth proportional to 166,160, 229,301.76 and 90,709.28 is: 125,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,160 : 229,301.76 = 90,709.28 : x
  2. Step 2: Convert to fraction form
    166,160/229,301.76 = 90,709.28/x
  3. Step 3: Cross multiply
    166,160x = 229,301.76 × 90,709.28
  4. Step 4: Simplify right side
    166,160x = 20,799,797,552.33
  5. Step 5: Solve for x
    x = 20,799,797,552.33/166,160
  6. Step 6: Final answer
    x = 125,179.33

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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.