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Finding the Fourth Proportional to 121,142.97, 167,148.72 and 101,835.27

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Solution

The fourth proportional to 121,142.97, 167,148.72 and 101,835.27 is: 140,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,142.97 : 167,148.72 = 101,835.27 : x
  2. Step 2: Convert to fraction form
    121,142.97/167,148.72 = 101,835.27/x
  3. Step 3: Cross multiply
    121,142.97x = 167,148.72 × 101,835.27
  4. Step 4: Simplify right side
    121,142.97x = 17,021,635,031.35
  5. Step 5: Solve for x
    x = 17,021,635,031.35/121,142.97
  6. Step 6: Final answer
    x = 140,508.65

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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.