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Finding the Fourth Proportional to 76,564.60, 114,522.90 and 68,723.80

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Solution

The fourth proportional to 76,564.60, 114,522.90 and 68,723.80 is: 102,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,564.60 : 114,522.90 = 68,723.80 : x
  2. Step 2: Convert to fraction form
    76,564.60/114,522.90 = 68,723.80/x
  3. Step 3: Cross multiply
    76,564.60x = 114,522.90 × 68,723.80
  4. Step 4: Simplify right side
    76,564.60x = 7,870,448,875.02
  5. Step 5: Solve for x
    x = 7,870,448,875.02/76,564.60
  6. Step 6: Final answer
    x = 102,794.88

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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.