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Finding the Fourth Proportional to 76,380.96, 105,472.68 and 47,749.56

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Solution

The fourth proportional to 76,380.96, 105,472.68 and 47,749.56 is: 65,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,380.96 : 105,472.68 = 47,749.56 : x
  2. Step 2: Convert to fraction form
    76,380.96/105,472.68 = 47,749.56/x
  3. Step 3: Cross multiply
    76,380.96x = 105,472.68 × 47,749.56
  4. Step 4: Simplify right side
    76,380.96x = 5,036,274,062.02
  5. Step 5: Solve for x
    x = 5,036,274,062.02/76,380.96
  6. Step 6: Final answer
    x = 65,936.25

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1.5x scale

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.