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Finding the Fourth Proportional to 138,885.44, 191,673.76 and 78,467.20

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Solution

The fourth proportional to 138,885.44, 191,673.76 and 78,467.20 is: 108,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,885.44 : 191,673.76 = 78,467.20 : x
  2. Step 2: Convert to fraction form
    138,885.44/191,673.76 = 78,467.20/x
  3. Step 3: Cross multiply
    138,885.44x = 191,673.76 × 78,467.20
  4. Step 4: Simplify right side
    138,885.44x = 15,040,103,260.67
  5. Step 5: Solve for x
    x = 15,040,103,260.67/138,885.44
  6. Step 6: Final answer
    x = 108,291.43

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1.5x scale

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.