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Finding the Fourth Proportional to 100,361.90, 138,505.65 and 55,649.90

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Solution

The fourth proportional to 100,361.90, 138,505.65 and 55,649.90 is: 76,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,361.90 : 138,505.65 = 55,649.90 : x
  2. Step 2: Convert to fraction form
    100,361.90/138,505.65 = 55,649.90/x
  3. Step 3: Cross multiply
    100,361.90x = 138,505.65 × 55,649.90
  4. Step 4: Simplify right side
    100,361.90x = 7,707,825,709.51
  5. Step 5: Solve for x
    x = 7,707,825,709.51/100,361.90
  6. Step 6: Final answer
    x = 76,800.31

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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.