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Finding the Fourth Proportional to 75,268.36, 112,978.14 and 66,889.72

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Solution

The fourth proportional to 75,268.36, 112,978.14 and 66,889.72 is: 100,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,268.36 : 112,978.14 = 66,889.72 : x
  2. Step 2: Convert to fraction form
    75,268.36/112,978.14 = 66,889.72/x
  3. Step 3: Cross multiply
    75,268.36x = 112,978.14 × 66,889.72
  4. Step 4: Simplify right side
    75,268.36x = 7,557,076,150.72
  5. Step 5: Solve for x
    x = 7,557,076,150.72/75,268.36
  6. Step 6: Final answer
    x = 100,401.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.