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Finding the Fourth Proportional to 138,752.22, 207,991.44 and 54,459.57

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Solution

The fourth proportional to 138,752.22, 207,991.44 and 54,459.57 is: 81,635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,752.22 : 207,991.44 = 54,459.57 : x
  2. Step 2: Convert to fraction form
    138,752.22/207,991.44 = 54,459.57/x
  3. Step 3: Cross multiply
    138,752.22x = 207,991.44 × 54,459.57
  4. Step 4: Simplify right side
    138,752.22x = 11,327,124,386.08
  5. Step 5: Solve for x
    x = 11,327,124,386.08/138,752.22
  6. Step 6: Final answer
    x = 81,635.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.