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Finding the Fourth Proportional to 80,509.59, 120,764.29 and 30,577.75

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Solution

The fourth proportional to 80,509.59, 120,764.29 and 30,577.75 is: 45,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,509.59 : 120,764.29 = 30,577.75 : x
  2. Step 2: Convert to fraction form
    80,509.59/120,764.29 = 30,577.75/x
  3. Step 3: Cross multiply
    80,509.59x = 120,764.29 × 30,577.75
  4. Step 4: Simplify right side
    80,509.59x = 3,692,699,511.84
  5. Step 5: Solve for x
    x = 3,692,699,511.84/80,509.59
  6. Step 6: Final answer
    x = 45,866.58

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1.5x scale

Why These Related Problems?

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