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Finding the Fourth Proportional to 76,650, 105,777.12 and 43,116

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Solution

The fourth proportional to 76,650, 105,777.12 and 43,116 is: 59,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,650 : 105,777.12 = 43,116 : x
  2. Step 2: Convert to fraction form
    76,650/105,777.12 = 43,116/x
  3. Step 3: Cross multiply
    76,650x = 105,777.12 × 43,116
  4. Step 4: Simplify right side
    76,650x = 4,560,686,305.92
  5. Step 5: Solve for x
    x = 4,560,686,305.92/76,650
  6. Step 6: Final answer
    x = 59,500.15

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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.