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Finding the Fourth Proportional to 100,208.82, 138,283.22 and 54,887

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Solution

The fourth proportional to 100,208.82, 138,283.22 and 54,887 is: 75,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,208.82 : 138,283.22 = 54,887 : x
  2. Step 2: Convert to fraction form
    100,208.82/138,283.22 = 54,887/x
  3. Step 3: Cross multiply
    100,208.82x = 138,283.22 × 54,887
  4. Step 4: Simplify right side
    100,208.82x = 7,589,951,096.14
  5. Step 5: Solve for x
    x = 7,589,951,096.14/100,208.82
  6. Step 6: Final answer
    x = 75,741.35

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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.