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Finding the Fourth Proportional to 76,814, 106,003.36 and 41,486

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Solution

The fourth proportional to 76,814, 106,003.36 and 41,486 is: 57,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,814 : 106,003.36 = 41,486 : x
  2. Step 2: Convert to fraction form
    76,814/106,003.36 = 41,486/x
  3. Step 3: Cross multiply
    76,814x = 106,003.36 × 41,486
  4. Step 4: Simplify right side
    76,814x = 4,397,655,392.96
  5. Step 5: Solve for x
    x = 4,397,655,392.96/76,814
  6. Step 6: Final answer
    x = 57,250.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.