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Finding the Fourth Proportional to 138,911.56, 191,653.26 and 85,169.68

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Solution

The fourth proportional to 138,911.56, 191,653.26 and 85,169.68 is: 117,506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,911.56 : 191,653.26 = 85,169.68 : x
  2. Step 2: Convert to fraction form
    138,911.56/191,653.26 = 85,169.68/x
  3. Step 3: Cross multiply
    138,911.56x = 191,653.26 × 85,169.68
  4. Step 4: Simplify right side
    138,911.56x = 16,323,046,825.16
  5. Step 5: Solve for x
    x = 16,323,046,825.16/138,911.56
  6. Step 6: Final answer
    x = 117,506.76

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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.