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Finding the Fourth Proportional to 76,309.60, 114,476.64 and 36,869.80

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Solution

The fourth proportional to 76,309.60, 114,476.64 and 36,869.80 is: 55,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,309.60 : 114,476.64 = 36,869.80 : x
  2. Step 2: Convert to fraction form
    76,309.60/114,476.64 = 36,869.80/x
  3. Step 3: Cross multiply
    76,309.60x = 114,476.64 × 36,869.80
  4. Step 4: Simplify right side
    76,309.60x = 4,220,730,821.47
  5. Step 5: Solve for x
    x = 4,220,730,821.47/76,309.60
  6. Step 6: Final answer
    x = 55,310.61

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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.