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Finding the Fourth Proportional to 138,771, 191,508.65 and 85,045.67

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Solution

The fourth proportional to 138,771, 191,508.65 and 85,045.67 is: 117,365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,771 : 191,508.65 = 85,045.67 : x
  2. Step 2: Convert to fraction form
    138,771/191,508.65 = 85,045.67/x
  3. Step 3: Cross multiply
    138,771x = 191,508.65 × 85,045.67
  4. Step 4: Simplify right side
    138,771x = 16,286,980,067.27
  5. Step 5: Solve for x
    x = 16,286,980,067.27/138,771
  6. Step 6: Final answer
    x = 117,365.88

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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.