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Finding the Fourth Proportional to 52,019.50, 77,991.66 and 30,909.49

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Solution

The fourth proportional to 52,019.50, 77,991.66 and 30,909.49 is: 46,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,019.50 : 77,991.66 = 30,909.49 : x
  2. Step 2: Convert to fraction form
    52,019.50/77,991.66 = 30,909.49/x
  3. Step 3: Cross multiply
    52,019.50x = 77,991.66 × 30,909.49
  4. Step 4: Simplify right side
    52,019.50x = 2,410,682,434.85
  5. Step 5: Solve for x
    x = 2,410,682,434.85/52,019.50
  6. Step 6: Final answer
    x = 46,341.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.