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Finding the Fourth Proportional to 76,983, 106,236.86 and 41,655

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Solution

The fourth proportional to 76,983, 106,236.86 and 41,655 is: 57,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,983 : 106,236.86 = 41,655 : x
  2. Step 2: Convert to fraction form
    76,983/106,236.86 = 41,655/x
  3. Step 3: Cross multiply
    76,983x = 106,236.86 × 41,655
  4. Step 4: Simplify right side
    76,983x = 4,425,296,403.30
  5. Step 5: Solve for x
    x = 4,425,296,403.30/76,983
  6. Step 6: Final answer
    x = 57,484.07

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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.