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Finding the Fourth Proportional to 87,361.92, 131,070.54 and 31,200.84

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Solution

The fourth proportional to 87,361.92, 131,070.54 and 31,200.84 is: 46,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,361.92 : 131,070.54 = 31,200.84 : x
  2. Step 2: Convert to fraction form
    87,361.92/131,070.54 = 31,200.84/x
  3. Step 3: Cross multiply
    87,361.92x = 131,070.54 × 31,200.84
  4. Step 4: Simplify right side
    87,361.92x = 4,089,510,947.25
  5. Step 5: Solve for x
    x = 4,089,510,947.25/87,361.92
  6. Step 6: Final answer
    x = 46,811.14

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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.