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Finding the Fourth Proportional to 138,491.64, 191,122.20 and 84,775.68

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Solution

The fourth proportional to 138,491.64, 191,122.20 and 84,775.68 is: 116,992.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,491.64 : 191,122.20 = 84,775.68 : x
  2. Step 2: Convert to fraction form
    138,491.64/191,122.20 = 84,775.68/x
  3. Step 3: Cross multiply
    138,491.64x = 191,122.20 × 84,775.68
  4. Step 4: Simplify right side
    138,491.64x = 16,202,514,468.10
  5. Step 5: Solve for x
    x = 16,202,514,468.10/138,491.64
  6. Step 6: Final answer
    x = 116,992.73

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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.