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Finding the Fourth Proportional to 135,893.30, 187,512.71 and 75,464.46

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Solution

The fourth proportional to 135,893.30, 187,512.71 and 75,464.46 is: 104,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,893.30 : 187,512.71 = 75,464.46 : x
  2. Step 2: Convert to fraction form
    135,893.30/187,512.71 = 75,464.46/x
  3. Step 3: Cross multiply
    135,893.30x = 187,512.71 × 75,464.46
  4. Step 4: Simplify right side
    135,893.30x = 14,150,545,025.96
  5. Step 5: Solve for x
    x = 14,150,545,025.96/135,893.30
  6. Step 6: Final answer
    x = 104,129.82

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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.