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Finding the Fourth Proportional to 50,712.82, 75,880.86 and 31,905.02

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Solution

The fourth proportional to 50,712.82, 75,880.86 and 31,905.02 is: 47,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,712.82 : 75,880.86 = 31,905.02 : x
  2. Step 2: Convert to fraction form
    50,712.82/75,880.86 = 31,905.02/x
  3. Step 3: Cross multiply
    50,712.82x = 75,880.86 × 31,905.02
  4. Step 4: Simplify right side
    50,712.82x = 2,420,980,355.92
  5. Step 5: Solve for x
    x = 2,420,980,355.92/50,712.82
  6. Step 6: Final answer
    x = 47,739.02

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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.