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Finding the Fourth Proportional to 100,577.93, 138,797.58 and 55,258.82

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Solution

The fourth proportional to 100,577.93, 138,797.58 and 55,258.82 is: 76,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,577.93 : 138,797.58 = 55,258.82 : x
  2. Step 2: Convert to fraction form
    100,577.93/138,797.58 = 55,258.82/x
  3. Step 3: Cross multiply
    100,577.93x = 138,797.58 × 55,258.82
  4. Step 4: Simplify right side
    100,577.93x = 7,669,789,795.67
  5. Step 5: Solve for x
    x = 7,669,789,795.67/100,577.93
  6. Step 6: Final answer
    x = 76,257.19

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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.