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Finding the Fourth Proportional to 138,602.72, 191,291.42 and 84,182.41

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Solution

The fourth proportional to 138,602.72, 191,291.42 and 84,182.41 is: 116,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,602.72 : 191,291.42 = 84,182.41 : x
  2. Step 2: Convert to fraction form
    138,602.72/191,291.42 = 84,182.41/x
  3. Step 3: Cross multiply
    138,602.72x = 191,291.42 × 84,182.41
  4. Step 4: Simplify right side
    138,602.72x = 16,103,373,735.50
  5. Step 5: Solve for x
    x = 16,103,373,735.50/138,602.72
  6. Step 6: Final answer
    x = 116,183.68

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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.