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Finding the Fourth Proportional to 100,745.88, 138,958.56 and 87,293.24

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Solution

The fourth proportional to 100,745.88, 138,958.56 and 87,293.24 is: 120,403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,745.88 : 138,958.56 = 87,293.24 : x
  2. Step 2: Convert to fraction form
    100,745.88/138,958.56 = 87,293.24/x
  3. Step 3: Cross multiply
    100,745.88x = 138,958.56 × 87,293.24
  4. Step 4: Simplify right side
    100,745.88x = 12,130,142,928.13
  5. Step 5: Solve for x
    x = 12,130,142,928.13/100,745.88
  6. Step 6: Final answer
    x = 120,403.36

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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.