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Finding the Fourth Proportional to 138,956.24, 191,763.14 and 85,270.92

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Solution

The fourth proportional to 138,956.24, 191,763.14 and 85,270.92 is: 117,676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,956.24 : 191,763.14 = 85,270.92 : x
  2. Step 2: Convert to fraction form
    138,956.24/191,763.14 = 85,270.92/x
  3. Step 3: Cross multiply
    138,956.24x = 191,763.14 × 85,270.92
  4. Step 4: Simplify right side
    138,956.24x = 16,351,819,369.89
  5. Step 5: Solve for x
    x = 16,351,819,369.89/138,956.24
  6. Step 6: Final answer
    x = 117,676.04

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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.