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Finding the Fourth Proportional to 121,141.28, 167,031.90 and 82,919.28

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Solution

The fourth proportional to 121,141.28, 167,031.90 and 82,919.28 is: 114,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,141.28 : 167,031.90 = 82,919.28 : x
  2. Step 2: Convert to fraction form
    121,141.28/167,031.90 = 82,919.28/x
  3. Step 3: Cross multiply
    121,141.28x = 167,031.90 × 82,919.28
  4. Step 4: Simplify right side
    121,141.28x = 13,850,164,885.03
  5. Step 5: Solve for x
    x = 13,850,164,885.03/121,141.28
  6. Step 6: Final answer
    x = 114,330.68

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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.