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Finding the Fourth Proportional to 100,577.74, 138,796.70 and 55,254.74

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Solution

The fourth proportional to 100,577.74, 138,796.70 and 55,254.74 is: 76,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,577.74 : 138,796.70 = 55,254.74 : x
  2. Step 2: Convert to fraction form
    100,577.74/138,796.70 = 55,254.74/x
  3. Step 3: Cross multiply
    100,577.74x = 138,796.70 × 55,254.74
  4. Step 4: Simplify right side
    100,577.74x = 7,669,175,571.36
  5. Step 5: Solve for x
    x = 7,669,175,571.36/100,577.74
  6. Step 6: Final answer
    x = 76,251.22

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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.