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Finding the Fourth Proportional to 76,980.72, 106,236.36 and 43,446

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Solution

The fourth proportional to 76,980.72, 106,236.36 and 43,446 is: 59,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,980.72 : 106,236.36 = 43,446 : x
  2. Step 2: Convert to fraction form
    76,980.72/106,236.36 = 43,446/x
  3. Step 3: Cross multiply
    76,980.72x = 106,236.36 × 43,446
  4. Step 4: Simplify right side
    76,980.72x = 4,615,544,896.56
  5. Step 5: Solve for x
    x = 4,615,544,896.56/76,980.72
  6. Step 6: Final answer
    x = 59,957.15

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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.