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Finding the Fourth Proportional to 76,731.60, 114,967.80 and 50,422.80

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Solution

The fourth proportional to 76,731.60, 114,967.80 and 50,422.80 is: 75,549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,731.60 : 114,967.80 = 50,422.80 : x
  2. Step 2: Convert to fraction form
    76,731.60/114,967.80 = 50,422.80/x
  3. Step 3: Cross multiply
    76,731.60x = 114,967.80 × 50,422.80
  4. Step 4: Simplify right side
    76,731.60x = 5,796,998,385.84
  5. Step 5: Solve for x
    x = 5,796,998,385.84/76,731.60
  6. Step 6: Final answer
    x = 75,549.04

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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.