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Finding the Fourth Proportional to 76,924.80, 105,998.76 and 56,749.80

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Solution

The fourth proportional to 76,924.80, 105,998.76 and 56,749.80 is: 78,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,924.80 : 105,998.76 = 56,749.80 : x
  2. Step 2: Convert to fraction form
    76,924.80/105,998.76 = 56,749.80/x
  3. Step 3: Cross multiply
    76,924.80x = 105,998.76 × 56,749.80
  4. Step 4: Simplify right side
    76,924.80x = 6,015,408,430.25
  5. Step 5: Solve for x
    x = 6,015,408,430.25/76,924.80
  6. Step 6: Final answer
    x = 78,198.56

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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.