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Finding the Fourth Proportional to 76,208.92, 114,294.92 and 31,811.60

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Solution

The fourth proportional to 76,208.92, 114,294.92 and 31,811.60 is: 47,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,208.92 : 114,294.92 = 31,811.60 : x
  2. Step 2: Convert to fraction form
    76,208.92/114,294.92 = 31,811.60/x
  3. Step 3: Cross multiply
    76,208.92x = 114,294.92 × 31,811.60
  4. Step 4: Simplify right side
    76,208.92x = 3,635,904,403.75
  5. Step 5: Solve for x
    x = 3,635,904,403.75/76,208.92
  6. Step 6: Final answer
    x = 47,709.70

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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.