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Finding the Fourth Proportional to 122,638.86, 169,242.30 and 71,654.58

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Solution

The fourth proportional to 122,638.86, 169,242.30 and 71,654.58 is: 98,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,638.86 : 169,242.30 = 71,654.58 : x
  2. Step 2: Convert to fraction form
    122,638.86/169,242.30 = 71,654.58/x
  3. Step 3: Cross multiply
    122,638.86x = 169,242.30 × 71,654.58
  4. Step 4: Simplify right side
    122,638.86x = 12,126,985,924.73
  5. Step 5: Solve for x
    x = 12,126,985,924.73/122,638.86
  6. Step 6: Final answer
    x = 98,883.71

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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.